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VOLUME 115 NUMBER 4 AUGUST 1992
WHOLE NUMBER 398
ProceedingsJL. OF THE
AMERICAN MATHEMATICAL SOCIETY
EDITED BYWilliam AdamsDale AlspachJ. Marshall AshAlbert Baernstein IIEric BedfordAndreas R. BlassAndrew M. BrucknerChristopher CrokeClifford J. Earle, Jr.,
Coordinating Editor forAnalysis and Operator Theory
Eric FriedlanderTheodore W. GamelinJames Glimm, Coordinating
Editor for AppliedMathematics, Probability,and Statistics
Roe GoodmanThomas GoodwillieLawrence GrayDennis A. HejhalPalle E. T. Jorgensen
Jeffry N. Kahn
Barbara Lee Keyfitz,Coordinating Editor for ODE,PDE, Global Analysis, andDynamical Systems
Irwin Kra, Managing Editor
Peter Li, Coordinating Editorfor Lie Groups, Topology,and Geometry
Wei Y. LohJoseph S. B. MitchellM. Susan Montgomery,
Coordinating Editor forAlgebra, Number Theory,and Combinatorics
Charles PughDavid SharpLance W. SmallHal L. SmithRonald M. SolomonRonald SternFranklin D. TallJohn Trangenstein
James West
PROVIDENCE. RHODE ISLAND USA
ISSN 0002-9939
Proceedings of the American Mathematical Society
This journal is devoted entirely to research in pure and applied mathematics.
Subscription information. Proceedings of the American Mathematical Society is pub-lished monthly. Subscription prices for Volumes 114-116 (1992) are $508 list; $406institutional member; $305 individual member. A late charge of 10% of the subscrip-
tion price will be imposed upon orders received from nonmember after January 1 of the
subscription year. Subscribers outside the United States and India must pay a postagesurcharge of $25; subscribers in India must pay a postage surcharge of $38. Expedited
delivery to destinations in North America—$38; elsewhere—$90.
Back number information. For back issues see the AMS Catalogue of Publications.
Subscriptions and orders should be addressed to the American Mathematical Soci-
ety, P.O. Box 1571, Annex Station, Providence, RI 02901-1571. All orders must be
accompanied by payment. Other correspondence should be addressed to P. O. Box 6248,
Providence, RI 02940-6248.
Copying and reprinting. Individual readers of this publication, and nonprofit libraries
acting for them, are permitted to make fair use of the material, such as to copy an article
for use in teaching or research. Permission is granted to quote brief passages from this
publication in reviews provided the customary acknowledgement of the source is given.Republication, systematic copying, or multiple reproduction of any material in this
publication (including abstracts) is permitted only under license from the American
Mathematical Society. Requests for such permission should be addressed to the Manager
of Editorial Services, American Mathematical Society, P. O. Box 6248, Providence, RI
02940-6248.The appearance of the code on the first page of an article in this journal indicates the
copyright owner's consent for copying beyond that permitted by Sections 107 or 108 of
the U.S. Copyright Law, provided that a fee of $1.00 plus $.25 per page for each copy
be paid directly to the Copyright Clearance Center, Inc., 27 Congress Street, Salem, MA
01970. This consent does not extend to other kinds of copying, such as copying for
general distribution, for advertising or promotion purposes, for creating new collective
works, or for resale.
Proceedings of the American Mathematical Society is published monthly by the Amer-
ican Mathematical Society at 201 Charles Street, Providence, RI 02904-2213. Second-
class postage is paid at Providence, Rhode Island. Postmaster: Send address changes to
Proceedings, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-
6248.
Copyright © 1992 by the American Mathematical Society. All rights reserved.Printed in the United States of America.
The paper used in this book is acid-free and falls within the guidelinesestablished to ensure permanence and durability. @
This publication was typeset using A^-T^K,the American Mathematical Society's TgX macro system.
10 9 8 7 6 5 4 3 2 1 97 96 95 94 93 92
INDEX TO VOLUME 115•Starred items are "Shorter Notes."
Abraham, Uri and Bonnet, Robert. Every superatomic subalgebra of an interval algebra is embed-
dable in an ordinal algebra, 585.Akeroyd, John. Density of the polynomials in the Hardy space of certain slit domains, 1013.
Alemán, Alexandria. Hubert spaces of analytic functions between the Hardy and the Dirichlet space,
97.Ancel, Fredric D. and Guilbault, Craig R. An extension of Rourke's proof that Q-¡ = 0 to nonori-
entable manifolds, 283.Antal Balog and Carl Pomerance. The distribution of smooth numbers in arithmetic progressions,
33.Arias, Alvaro. All the infinite nest algebras are isomorphic, 85.
Atalla, Robert E. Regular matrices and P-sets in ßN\N. II, 141.
Babich, Amy. Scrawny Cantor sets are not definable by tori, 829.
Baker, John, Hindman, Neil, and Pym, John, k-topologies for right topological semigroups, 251.
Baldwin, Stewart. On the existence of invariant measures that behave like area, 89.
Baribeau, Line and Harbottle, Sarah. Twc new open mapping theorems for analytic multivalued
functions, 1009.Berkovich, Yakov, Chillag, David, and Marcel Herzog, Marcel. Finite groups in which the degrees
of the nonlinear irreducible characters are distinct, 955.
Bernau, S. J., Huijsmans, C. B., and De Pagter, B. Sums of lattice homomorphisms, 151.
Blasco, Oscar. A note on vector-valued Hardy and Paley inequalities, 787.
Bonnet, Robert. See Abraham, Uri
Boratynski, M. Locally complete intersection multiple structures on smooth algebraic curves, 877.
Brooks, Robin and Wong, Peter. On changing fixed points and coincidences to roots, 527.
Bruce, J. W., Ruas, M. A. S., and Saia, M. J. A note on determinacy, 865.
Brunner, A. M. A two-generator presentation for the Picard group, 45.
Bruns, Winfried. The Evans-Griffith syzygy theorem and Bass numbers, 939.
Burns, Keith. The flat strip theorem fails for surfaces with no conjugate points, 199.
Candeal-Haro, Juan Carlos and Indurain-Eraso, Esteban. Utility functions on partially ordered
topological groups, 765.
Chen, Liang and Li, Shihai. Shadowing property for inverse limit spaces, 573.
Chillag, David. See Berkovich, Yakov
Choda, Hisashi. A Galois type theorem in von Neumann algebras, 415.
Christy, Joe. Immersing branched surfaces in dimension three, 853.
Chung, Dong Myung and Hwang, Hong Taek. Cylinder functions in the Fresnel class of functionson abstract Wiener spaces, 381.
Cilleruelo, J. and Cordoba, A. Trigonometric polynomials and lattice points, 899.
Conder, Marston, Robertson, Edmund, and Williams, Peter. Presentations for 3-dimensional spe-
cial linear groups over integer rings, 19.
Connor, Jeff. R-type summability methods, Cauchy criteria, P-sets and statistical convergence, 319.
Cooper, S. Barry. A splitting theorem for the n-r.e. degrees, 461.
Corach, G., Porta, H., and Recht, L. A geometric interpretation of Segal's inequality \\ex+Y\\ <
\\ex'2eYex'2\\, 229.
Cordoba, A. See Cilleruelo, J.
Curzio, Mario, Longobardi, Patrizia, Maj, Mercede, and Rhemtulla, Akbar. Groups with many
rewritable products, 931.
De Pagter, B. See Bernau, S. J.
DeFranza, J. and Zeller, K. Matrix summability of unbounded sequences, 171.
Dekov, Deko V. The class of all S-pregroups is not finitely axiomatizable, 895.
Dobbs, David E. and Fontana, Marco. Integral overrings of two-dimensional going-down domains,
655.Driver, R. D., Ladas, G., and Vlahos, P. N. Asymptotic behavior of a linear delay difference equa-
tion, 105.
INDEX TO VOLUME 115
Duncan, Andrew J. and Howie, James. Weinbaum's conjecture on unique subwords of nonperiodic
words, 947.
Dvurecenskij, Anatolij. Finitely additive Gleason measures, 191.
Edelstein, Michael. On the indecomposability of compact convex sets, 137.
Egawa, Jiro. Eigenvalues of some almost periodic functions, 535.
Escauriaza, L., Fabes, E. B., and Verchota, G. On a regularity theorem for weak solutions to trans-
mission problems with internal Lipschitz boundaries, 1069.
Escauriaza, Luis. A note on Krylov-Tso's parabolic inequality, 1053.
Fabes, E. B. See Escauriaza, L.
Farsi, Carla. K-theoretical index theorems for good orbifolds, 769.
Faybusovich, Leonid. Toda flows and isospectral manifolds, 837.
Ferrando, J. C. and López-Pellicer, M. A note on a theorem of J. Diestel and B. Faires, 1077.
Filho, Augusto Reynol. Nilpotent spaces: some inequalities on nilpotency degrees, 501.
Fink, A. M. On Opial's inequality for f ("\ 177.Flapan, Erica and Weaver, Nikolai. Intrinsic chirality of complete graphs, 233.
Fonda, A. and Lazer, A. C. Subharmonic solutions of conservative systems with nonconvex poten-tials, 183.
Fontana, Marco. See Dobbs, David E.
Fujii, Masatoshi and Kamei, Eizaburo. Furuta 's
inequality and a generalization of Ando 's
theorem,
409.Gedeon, Tomás and Kuchta, Milan. Shadowing property of continuous maps, 271.
Gessel, Ira M. and Zeilberger, Doron. Random walk in a Weyl chamber, 27.
Gilmer, Robert and Heinzer, William. Zero-dimensionality in commutative rings, 881.
Gong, Weibang and Zhu, Jun. Strong-principal bimodules of nest algebras, 435.
González, Manuel and Gutiérrez, Joaquín M. Compact and weakly compact homomorphisms be-
tween algebras of differentiable functions, 1025.
Goulden, I. P. and Jackson, D. M. Immanants, Schur functions, and the MacMahon Master theo-
rem, 605.
Gowrisankaran, Kohur. Polydiscs and nontangential limits, 977.
Greenlees, J. P. C. and May, J. P. Some remarks on the structure of Mackey functors, 237.
Gudder, Stanley. A generalization of d'Alembert's functional equation, 419.
Guilbault, Craig R. See Ancel, Fredric D.
Gutiérrez, Joaquín M. See González, Manuel
Haagerup, Uffe and de la Harpe, Pierre. The numerical radius of a nilpotent operator on a Hilbert
space, 371.
Hanin, Leonid G. Kantorovich-Rubinstein norm and its application in the theory of Lipschitz spaces,
345.Harbottle, Sarah. See Baribeau, Line
Harpe, Pierre de la. See Haagerup, Uffe
Hasselblatt, Boris. Bootstrapping regularity of the Anosov splitting, 817.
Haydon, Richard. Reflexivity of commutative subspace lattices, 1057.
Healey, Timothy J. and Kielhöfer, Hansjörg. Positivity of global branches of fully nonlinear elliptic
boundary value problems, 1031.Heinzer, William. See Gilmer, Robert
Henriquez, Hernán R. and Hernández, Eduardo A. On the abstract Cauchy problem in Fréchet
spaces, 353.Hernández, Eduardo A. See Henriquez, Hernán R.
Hieber, Matthias and Räbiger, Frank. A remark on the abstract Cauchy problem on spaces of Holder
continuous functions, 431.
Hindman, Neil. See Baker, John
Holte, Sarah E. An order theoretic characterization ofPeano continua, 1119.
Howie, James. See Duncan, Andrew J.
Huijsmans, C. B. See Bernau, S. J.
Hurley, Mike. Attractors in restricted cellular automata, 563.
Hurley, Mike. Noncompact chain recurrence and attraction, 1139.
Hwang, Hong Taek. See Chung, Dong Myung
Indurain-Eraso, Esteban. See Candeal-Haro, Juan Carlos
INDEX TO VOLUME 115
Ismail, Mourand E. H. and Li, Xin. Bound on the extreme zeros of orthogonal polynomials, 131.*Izzo, Alexander J. A functional analysis proof of the existence of haar measure on locally compact
abelian groups, 581.
Jackson, D. M. See Goulden, I. P.
del Junco, Andrés and Lemañczyk, Mariusz. Generic spectral properties of measure-preserving maps
and applications, 725.
Jungck, Gerald. Common fixed points for compatible maps on the unit interval, 495.
Kamei, Eizaburo. See Fujii, Masatoshi
Katsuura, Hidefumi. Pseudocontraction and homotopy of the sin(l/x) curve, 1129.
Keef, Patrick. A class of primary abelian groups characterized by its socles, 647.
Kellum, Kenneth R. and Rosen, Harvey. Compositions of continuous functions and connected func-tions, 145.
Kielhöfer, Hansjörg. See Healey, Timothy J.
Kikumasa, Isao and Nagahara, Takasi. Primitive elements of Galois extensions of finite fields, 593.
Ko, Ki Hyoung and Smolinsky, Lawrence. The framed braid group and 3-manifolds, 541.
Kocic, V. Lj. and Ladas, G. Global attractivity in nonlinear delay difference equations, 1083.
Krawczyk, Adam. On the Rosenthal compacta and analytic sets, 1095.
Kuchta, Milan. See Gedeon, Tomás
López-Pellicer, M. See Ferrando, J. C.
Labrousse, J-Ph. Inverses generalises d'operateurs non bornes, 125.
Ladas, G. See Kocic, V. Lj.
Ladas, G. See Driver, R. D.Laohakosol, Vichian. Dependence of arithmetic functions and Dirichlet series, 637.
Laquer, H. Turner. Invariant affine connections on symmetric spaces, 447.
Lassak, Marek. Approximation of convex bodies by triangles, 207.
Lazarus, Andrew J. Gaussian periods and units in certain cyclic fields, 961.
Lazer, A. C. See Fonda, A.
Lemañczyk, Mariusz. See del Junco, Andrés
Lewandowski, M., Ryznar, M., and Zak, T. Stable measure of a small ball, 489.
Li, Hui-Shi and Van Oystaeyen, Freddy. Dehomogenization ofgradings to Zariskian filtrations and
applications to invertible ideals, 1.
Li, Shihai. See Chen, Liang
Li, Shihai. Relations between chain recurrent points and turning points on the interval, 265.
Li, Xin. See Ismail, Mourand E. H.
Lin, Pei-Kee. Some remarks of drop property, 441.
Lipscomb, S. L. and Perry, J. C. Lipscomb's L(A) spacefractalized in Hubert's l2(A) space, 1157.
Liu, Zhong-dong. Ball covering on manifolds with nonnegative Ricci curvature near infinity, 211.
Lomonaco, Luciano. The iterated total squaring operation, 1149.
Lomonosov, Victor I. On real invariant subspaces of bounded operators with compact imaginary
part, 775.
Longobardi, Patrizia. See Curzio, Mario
Loveland, L. D. and Loveland, S. M. Equidistant sets in plane triodic continua, 553.
Loveland, S. M. See Loveland, L. D.
Ma, Xiaoyun and McOwen, Robert C. Complete conformai metrics with zero scalar curvature, 69.
Madan, Manohar and Rosen, Michael. The automorphism group of a function field, 923.
Maher, P. J. Commutator approximants, 995.
Maj, Mercede. See Curzio, Mario
Marcel Herzog, Marcel. See Berkovich, Yakov
Marciszewski, Witold. On properties of Rosenthal compacta, 797.
Martinez, Juan Carlos. A consistency result on thin-tall superatomic Boolean algebras, 473.
Martin, Mary B. and Zafrullah, M. t-linked overrings of Noetherian weakly factorial domains, 601.
Martsinkovsky, Alex. Free summands in maximal Cohen-Macaulay approximations and Eisenbud
operators over hypersurface rings, 915.
May, J. P. See Greenlees, J. P. C.
Mayer, J. C, Mohler, L. K., Oversteegen, L. G., and Tymchatyn, E. D. Characterization of sepa-
rable metric R-trees, 257.
McEachin, R. A sharp estimate in an operator inequality, 161.
INDEX TO VOLUME 115
McOwen, Robert C. See Ma, Xiaoyun
Mertens, Jean-Francois. Essential maps and manifolds, 513.
Mess, Geoffrey. A note on hyperelliptic curves, 849.
Miao, Tianxuan. The existence of left averaging functions that are not right averaging, 121.
Miller, Michael J. Continuous independence and the Ilieff-Sendov conjecture, 79.
Mohler, L. K. See Mayer, J. C.Molnár, Lajos. '-Representations of the trace-class of an H*-algebra, 167.
Murphy, Gerard J. The analytic rank of a C -algebra, 741.Nagahara, Takasi. See Kikumasa, Isao
Nakazi, Takahiko. Errata to "Norms
ofHankel operators on a bidisc", 873.
Nashier, Budh. Maximal ideals in Laurent polynomial rings, 907.
Navara, Mirko. Regularity and a-additivity of states on quantum logics, All.
Novak, Erich. Quadrature formulas for monotone functions, 59.
Ortega, Rafael. The first interval of stability of a periodic equation of Duffing type, 1061.
Oversteegen, L. G. See Mayer, J. C.
0yma, Knut. Harmonic measure and conformai length, 687.
Pan, Xingbin. Positive solutions of Au + K(x)up = 0 without decay conditions on K(x), 699.
Pandey, J. N. See Singh, O. P.Park, Chull and Skoug, David. Sample path-valued conditional Yeh- Wiener integrals and a Wiener
integral equation, 479.
Perry, J. C. See Lipscomb, S. L.
Phong, Vu Quôc. A short proof of the Y. Katznelson's and L. Tzafriri's theorem, 1023.
Phillips, Mark B. Dirichlet polyhedra for cyclic groups in complex hyperbolic space, 221.
Polácik, P. Imbedding of any vector field in a scalar semilinear parabolic equation, 1001.
Pomerance, Carl. See Balog, Antal
Porta, H. See Corach, G.Pym, John. See Baker, John
Qazi, M. A. On the maximum modulus of polynomials, 337.
Quanhua, Xu. Radon-Nikodym property in symmetric spaces of measurable operators, 329.
Räbiger, Frank. See Hieber, MatthiasRecht, L. See Corach, G.Renteria, Carlos and Villarreal, Rafael H. Koszul homology of Cohen-Macaulay rings with linear
resolutions, 51.Rhemtulla, Akbar. See Curzio, MarioRobertson, Edmund. See Conder, Marston
Robinson, P. L. Reduction of prequantized Mpc structures, 807.
Rodrigues, Claudina Izepe. l2-fixed sets of stationary point free Inactions, 821.
Rosen, Harvey. See Kellum, Kenneth R.
Rosen, Michael. See Madan, Manohar
Ross, David. Compact measures have Loeb preimages, 365.
Ruas, M. A. S. See Bruce, J. W.Ryznar, M. See Lewandowski, M.
Saia,M. J. See Bruce, J. W.
Saorin, M. Descending chain conditions for graded rings, 295.
Sarigöl, M. Ali. On absolute weighted mean summability methods, 157.
Scharlemann, Martin. Handlebody complements in the 3-sphere: A remark on a theorem of Fox,
1115.Schmidt, Sabina. Fixed points for discontinuous quasimonotone maps in sequence spaces, 361.*Shahgholian, Henrik. A characterization of the sphere in terms of single-layer potentials, 1167.
Shen, Yi-Bing. Curvature pinching for three-dimensional minimal submanifolds in a sphere, 791.
Singh, O. P. and Pandey, J. N. The Fourier-Bessel series representation of the pseudo-differentialoperator (-x-[D)", 969.
Skoug, David. See Park, Chull
Smith, Kirby C. and van Wyk, Leon. Semiendomorphisms of simple near-rings, 613.
Smolinsky, Lawrence. See Ko, Ki Hyoung
Spanoudakis, N. K. Generalizations of certain nest algebra results, 711.
Sulaiman, W. T. A study on a relation between two summability methods, 303.
Sulaiman, W. T. On some summability factors of infinite series, 313.
INDEX TO VOLUME 115
Takác, Peter. Linearly stable subharmonic orbits in strongly monotone time-periodic dynamical
systems, 691.Tam, Laying. Cesäro and general Euler-Borel summability, 1A1.
Tasaki, Hiroyuki and Umehara, Masaaki. An invariant on 3-dimensional Lie algebras, 293.
Taylor, Alan and Zwicker, William. A characterization of weighted voting, 1089.
Thomassen, Carsten. A characterization of the 1-sphere in terms of Jordan curve separation, 863.
Tomiuk, Bohdan J. Multipliers on complemented Banach algebras, 397.Tymchatyn, E. D. See Mayer, J. C.
Umehara, Masaaki. See Tasaki, Hiroyuki
Van Oystaeyen, Freddy. See Li, Hui-Shivan Wyk, Leon. See Smith, Kirby C.Vanderwerff, J. Smooth approximations in Banach spaces, 113.
Velebilová, Magdalena. Small congruences and concreteness, 13.
Verchota, G. See Escauriaza, L.
Vesely, Libor. A connectedness property of maximal monotone operators and its application to
approximation theory, 663.
Villarreal, Rafael H. See Renteria, Carlos
Vlahos, P. N. See Driver, R. D.Wang, James Li-Ming. Rational modules and Cauchy transforms, II, 405.
Weaver, Nikolai. See Flapan, Erica
Williams, Peter. See Conder, Marston
Wojtaszczyk, P. Some Remarks on the Daugavet Equation, 1047.
Wong, James S. W. Oscillation criteria for second order nonlinear differential equations with inte-
grable coefficients, 389.Wong, Peter. See Brooks, Robin
Wu, Ying-Qing. Essential laminations in surgered 3-manifolds, 245.
Xu, Xingwang. Prescribing a Ricci tensor in a conformai class ofRiemannian metrics, 455.
Yamada, Akira. Ahlfors functions on Denjoy domains, 757.
Yamamoto, Kazuhiro. The behavior of the analytically continued resolvent operator near k = 0
and an application to energy decay, 985.
Yamasaki, Masayuki. Errata to "Maps
between orbifolds", 875.
Yang, Chengmin. Projections P on C = C[-l, 1] which interpolate at dim(.P(C)) or more points,669.
Yanxia, Ren. Generalized first boundary value problem for Schrodinger equation, 1101.
Yicai, Zhao. A note on coherent rings of dimension two, 935.
Yicai, Zhao. A test theorem on coherent GCD domains, 47.
Yu, Lao Sen. Nonlinear p-Laplacian problems on unbounded domains, 1037.
Zafrullah, M. See Martin, Mary B.Zak, T. See Lewandowski, M.
Zeilberger, Doron. See Gessel, Ira M.
Zeller, K. See DeFranza, J.Zhang, Bo. On the retarded Liénard equation, 779.
Zhao, Shiying. On the weighted IP-integrability of nonnegative Jf -superharmonic functions, 611.
Zhu, Chen-Bo. A generic H-invariant in a multiplicity-free G-action, 629.
Zhu, Jun. See Gong, Weibang
Ziegler, Francois. On the Koslant convexity theorem, 1111.
Zwicker, William. See Taylor, Alan
VOLUME 115 1992
-VOEO
ProceedingsX. OF THE
AMERICAN MATHEMATICAL SOCIETY
EDITED BYWilliam AdamsDale AlspachJ. Marshall AshAlbert Baernstein IIEric BedfordAndreas R. BlassAndrew M. BrucknerChristopher CrokeClifford J. Earle, Jr.,
Coordinating Editor forAnalysis and Operator Theory
Eric FriedlanderTheodore W. GamelinJames Glimm, Coordinating
Editor for AppliedMathematics, Probability,and Statistics
Roe GoodmanThomas GoodwillieLawrence GrayDennis A. Hejhal
Palle E. T. JorgensenJeffry N. Kahn
Barbara Lee Keyfitz,
Coordinating Editor for ODE,
PDE, Global Analysis, and
Dynamical Systems
Irwin Kra, Managing Editor
Peter Li, Coordinating Editor
for Lie Groups, Topology,
and GeometryWei Y. LohJoseph S. B. MitchellM. Susan Montgomery,
Coordinating Editor for
Algebra, Number Theory,
and CombinatoricsCharles PughDavid SharpLance W. SmallHal L. SmithRonald M. SolomonRonald SternFranklin D. Tall
John Trangenstein
James West
PROVIDENCE, RHODE ISLAND USA
ISSN 0002-9939
Proceedings of the American Mathematical Society
This journal is devoted entirely to research in pure and applied mathematics.
Subscription information. Proceedings of the American Mathematical Society is pub-lished monthly. Subscription prices for Volumes 114-116 (1992) are $508 list; $406institutional member; $305 individual member. A late charge of 10% of the subscrip-
tion price will be imposed upon orders received from nonmember after January 1 of the
subscription year. Subscribers outside the United States and India must pay a postagesurcharge of $25; subscribers in India must pay a postage surcharge of $38. Expedited
delivery to destinations in North America—$38; elsewhere—$90.
Back number information. For back issues see the AMS Catalogue of Publications.
Subscriptions and orders should be addressed to the American Mathematical Soci-
ety, P.O. Box 1571, Annex Station, Providence, RI 02901-1571. All orders must beaccompanied by payment. Other correspondence should be addressed to P. O. Box 6248,
Providence, RI 02940-6248.
Copying and reprinting. Individual readers of this publication, and nonprofit libraries
acting for them, are permitted to make fair use of the material, such as to copy an article
for use in teaching or research. Permission is granted to quote brief passages from this
publication in reviews provided the customary acknowledgement of the source is given.Republication, systematic copying, or multiple reproduction of any material in this
publication (including abstracts) is permitted only under license from the American
Mathematical Society. Requests for such permission should be addressed to the Manager
of Editorial Services, American Mathematical Society, P. O. Box 6248, Providence, RI
02940-6248.The appearance of the code on the first page of an article in this journal indicates the
copyright owner's consent for copying beyond that permitted by Sections 107 or 108 of
the U.S. Copyright Law, provided that a fee of $1.00 plus $.25 per page for each copy
be paid directly to the Copyright Clearance Center, Inc., 27 Congress Street, Salem, MA
01970. This consent does not extend to other kinds of copying, such as copying for
general distribution, for advertising or promotion purposes, for creating new collective
works, or for resale.
Proceedings of the American Mathematical Society is published monthly by the Amer-
ican Mathematical Society at 201 Charles Street, Providence, RI 02904-2213. Second-
class postage is paid at Providence, Rhode Island. Postmaster: Send address changes to
Proceedings, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-
Copyright ©1992 by the American Mathematical Society. All rights reserved.
Printed in the United States of America.
The paper used in this book is acid-free and falls within the guidelinesestablished to ensure permanence and durability. ©
This publication was typeset using Ak^-T^X,
the American Mathematical Society's Tf?X macro system.
10 9 8 7 6 5 4 3 2 1 97 96 95 94 93 92
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
CONTENTS
Vol. 115, No. 1 May 1992 Whole No. 395
A. ALGEBRA AND NUMBER THEORY
Dehomogenization of gradings to Zariskian nitrations and applications to invertible ideals.
By Hui-Shi Li and Freddy Van Oystaeyen. 1
Small congruences and concreteness. By Magdalena Velebilová. 13
Presentations for 3-dimensional special linear groups over integer rings. By Marston
Conder, Edmund Robertson, and Peter Williams. 19
Random walk in a Weyl chamber. By Ira M. Gessel and Doron Zeilberger. 27
The distribution of smooth numbers in arithmetic progressions. By Antal Balog and
Carl Pomerance. 33
A two-generator presentation for the Picard group. By A. M. Brunner. 45
A test theorem on coherent GCD domains. By Zhao Yicai. 47
Koszul homology of Cohen-Macaulay rings with linear resolutions. By Carlos Rentería
and Rafael H. Villarreal. 51
B. ANALYSIS
Quadrature formulas for monotone functions. By Erich Novak. 59
Complete conformai metrics with zero scalar curvature. By Xiaoyun Ma and Robert C.
McOwen . 69
Continuous independence and the Ilieff-Sendov conjecture. By Michael J. Miller .... 79
All the infinite nest algebras are isomorphic. By Alvaro Arias . 85
On the existence of invariant measures that behave like area. By Stewart Baldwin ... 89
Hubert spaces of analytic functions between the Hardy and the Dirichlet space. By
Alexandru Alemán. 97
Asymptotic behavior of a linear delay difference equation. By R. D. Driver, G. Ladas,
and P. N. Vlahos. 105
Smooth approximations in Banach spaces. By J. Vanderwerff. 113
The existence of left averaging functions that are not right averaging. By Tianxuan Miao 121
Inverses generalises d'operateurs non bornes. By J-Ph. Labrousse. 125
Bound on the extreme zeros of orthogonal polynomials. By Mourand E. H. Ismail and
Xin Li. 131
Regular matrices and P-sets in ßN\N. II. By Robert E. Atalla. 141
Compositions of continuous functions and connected functions. By Kenneth R. Kellum
and Harvey Rosen. 145
Sums of lattice homomorphisms. By S. J. Bernau, C. B. Huijsmans, and B. De Pagter 151
On absolute weighted mean summability methods. By M. Ali Sarigöl. 157
A sharp estimate in an operator inequality. By R. McEachin. 161•-Representations of the trace-class of an H*-algebra. By Lajos Molnár. 167
Matrix summability of unbounded sequences. By J. DeFranza and K. Zeller. 171
On Opial's inequality for /<"). By A. M. Fink. 177
Subharmonic solutions of conservative systems with nonconvex potentials. By A. Fonda
and A. C. Lazer. 183
C. APPLIED MATHEMATICS
Finitely additive Gleason measures. By Anatolij Dvurecenskij. 191
D. GEOMETRY
The flat strip theorem fails for surfaces with no conjugate points. By Keith Burns .... 199
Approximation of convex bodies by triangles. By Marek Lassak. 207
Ball covering on manifolds with nonnegative Ricci curvature near infinity. By Zhong-
dong Liu. 211
Dirichlet polyhedra for cyclic groups in complex hyperbolic space. By Mark B. Phillips 221
A geometric interpretation of Segal's inequality ||e*,r+r|| < \\exl2eYexl2\\. By G. Corach,
H. Porta, and L. Recht. 229
G. TOPOLOGY
Intrinsic chirality of complete graphs. By Erica Flapan and Nikolai Weaver. 233
Some remarks on the structure of Mackey functors. By J. P. C. Greenlees and J. P. May 237
Essential laminations in surgered 3-manifolds. By Ying-Qing Wu. 245
k-topologies for right topological semigroups. By John Baker, Neil Hindman, and John
Pym. 251
Characterization of separable metric R-trees. By J. C. Mayer, L. K. Mohler, L. G.
Oversteegen, and E. D. Tymchatyn. 257
Relations between chain recurrent points and turning points on the interval. By Shihai Li 265
Shadowing property of continuous maps. By Tomás Gedeon and Milan Kuchta .... 271
An extension of Rourke's proof that íí3 = 0 to nonorientable manifolds. By Fredric D.
Ancel and Craig R. Guilbault. 283
Vol. 115, No. 2 June 1992 Whole No. 396
A. ALGEBRA AND NUMBER THEORY
An invariant on 3-dimensional Lie algebras. By Hiroyuki Tasaki and Masaaki Umehara 293
Descending chain conditions for graded rings. By M. Saorín. 295
B. ANALYSIS
A study on a relation between two summability methods. By W. T. Sulaiman . 303
On some summability factors of infinite series. By W. T. Sulaiman. 313
.R-type summability methods, Cauchy criteria, P-sets and statistical convergence. By Jeff
Connor. 319
Radon-Nikodym property in symmetric spaces of measurable operators. By Xu Quanhua 329
On the maximum modulus of polynomials. By M. A. Qazi. 337
Kantorovich-Rubinstein norm and its application in the theory of Lipschitz spaces. By
Leonid G. Hanin. 345
On the abstract Cauchy problem in Fréchet spaces. By Hernán R. Henriquez and Eduardo
A. Hernández. 353
Fixed points for discontinuous quasimonotone maps in sequence spaces. By Sabina
Schmidt. 361
Compact measures have Loeb preimages. By David Ross . 365
The numerical radius of a nilpotent operator on a Hubert space. By Uffe Haagerup and
Pierre de la Harpe. 371
Cylinder functions in the Fresnel class of functions on abstract Wiener spaces. By Dong
Myung Chung and Hong Taek Hwang. 381
Oscillation criteria for second order nonlinear differential equations with integrable coeffi-
cients. By James S. W. Wong. 389
Multipliers on complemented Banach algebras. By Bohdan J. Tomiuk. 397
Rational modules and Cauchy transforms, II. By James Li-Ming Wang. 405
Furuta's inequality and a generalization of Ando's theorem. By Masatoshi Fujii and
Eizaburo Kamei. 409
A Galois type theorem in von Neumann algebras. By Hisashi Choda. 415
A generalization of d'Alembert's functional equation. By Stanley Gudder. 419
Regularity and tr-additivity of states on quantum logics. By Mirko Navara. 427
A remark on the abstract Cauchy problem on spaces of Holder continuous functions. By
Matthias Hieber and Frank Räbiger. 431
Strong-principal bimodules of nest algebras. By Weibang Gong and Jun Zhu. 435
Some remarks of drop property. By Pei-Kee Lin. 441
D. GEOMETRY
Invariant affine connections on symmetric spaces. By H. Turner Laquer . 447
Prescribing a Ricci tensor in a conformai class of Riemannian metrics. By Xingwang Xu 455
E. LOGIC AND FOUNDATIONS
A splitting theorem for the n-r.e. degrees. By S. Barry Cooper. 461
A consistency result on thin-tall superatomic Boolean algebras. By Juan Carlos
Martínez. 473
F. STATISTICS AND PROBABILITY
Sample path-valued conditional Yeh-Wiener integrals and a Wiener integral equation. By
Chull Park and David Skoug. 479
Stable measure of a small ball. By M. Lewandowski, M. Ryznar, and T. Zak. 489
G TOPOLOGY
Common fixed points for compatible maps on the unit interval. By Gerald Jungck . . 495
Nilpotent spaces: some inequalities on nilpotency degrees. By Augusto Reynol Filho 501
Essential maps and manifolds. By Jean-Francois Mertens . 513
On changing fixed points and coincidences to roots. By Robin Brooks and Peter Wong 527
Eigenvalues of some almost periodic functions. By Jirô Egawa. 535
The framed braid group and 3-manifolds. By Ki H young Ko and Lawrence Smolinsky 541
Equidistant sets in plane triodic continua. By L. D. Loveland and S. M. Loveland . . . 553
Attractors in restricted cellular automata. By Mike Hurley. 563
Shadowing property for inverse limit spaces. By Liang Chen and Shihai Li. 573
SHORTER NOTES
A functional analysis proof of the existence of haar measure on locally compact abelian
groups. By Alexander J. Izzo. 581
Vol. 115, No. 3 July 1992 Whole No. 397
A. ALGEBRA AND NUMBER THEORY
Every superatomic subalgebra of an interval algebra is embeddable in an ordinal algebra.
By Uri Abraham and Robert Bonnet. 585
Primitive elements of Galois extensions of finite fields. By Isao Kikumasa and Takasi
Nagahara. 593
Z-linked overlings of Noetherian weakly factorial domains. By Mary B. Martin and M.
Zafrullah. 601
Immanants, Schur functions, and the MacMahon Master theorem. By I. P. Goulden and
D. M. Jackson. 605
Semiendomorphisms of simple near-rings. By Kirby C. Smith and Leon van Wyk ... 613
A generic //-invariant in a multiplicity-free ¿/-action. By Chen-Bo Zhu. 629
Dependence of arithmetic functions and Dirichlet series. By Vichian Laohakosol .... 637
A class of primary abelian groups characterized by its socles. By Patrick Keef. 647
Integral overlings of two-dimensional going-down domains. By David E. Dobbs and Marco
Fontana . 655
B. ANALYSIS
A connectedness property of maximal monotone operators and its application to approxima-
tion theory. By Libor Vesely. 663
Projections P on C = C[-l, 1] which interpolate at dim(.P(C)) or more points. ByCHENGMiN
Yang. 669
On the weighted //-integrability of nonnegative ^f-superharmonic functions. By Shiying
Zhao . 677
Harmonic measure and conformai length. By Knut 0yma. 687
Linearly stable subharmonic orbits in strongly monotone time-periodic dynamical systems.
By Peter Takác. 691
Positive solutions of Au + K(x)up = 0 without decay conditions on K{x). By Xingbin
Pan . 699
Generalizations of certain nest algebra results. By N. K. Spanoudakis. 711
Generic spectral properties of measure-preserving maps and applications. By Andrés del
Junco and Mariusz Lemañczyk. 725
On the indecomposability of compact convex sets. By Michael Edelstein. 737
The analytic rank of a C*-algebra. By Gerard J. Murphy . 741
Cesàro and general Euler-Borel summability. By Laying Tam . 747
Ahlfors functions on Denjoy domains. By Akira Yamada. 757
Utility functions on partially ordered topological groups. By Juan Carlos Candeal-
Haro and Esteban Indurain-Eraso. 765
AT-theoretical index theorems for good orbifolds. By Carla Farsi. 769
On real invariant subspaces of bounded operators with compact imaginary part. By Victor
I. Lomonosov. 775
On the retarded Liénard equation. By Bo Zhang. 779
A note on vector-valued Hardy and Paley inequalities. By Oscar Blasco. 787
D. GEOMETRY
Curvature pinching for three-dimensional minimal submanifolds in a sphere. By Yi-Bing
Shen. 791
G. TOPOLOGY
On properties of Rosenthal compacta. By Witold Marciszewski. 797
Reduction of prequantized Mpc structures. By P. L. Robinson . 807
Bootstrapping regularity of the Anosov splitting. By Boris Hasselblatt. 817
Z2-fixed sets of stationary point free Z4-actions. By Claudina Izepe Rodrigues. 821
Scrawny Cantor sets are not definable by tori. By Amy Babich. 829
Toda flows and isospectral manifolds. By Leonid Faybusovich. 837
A note on hyperelliptic curves. By Geoffrey Mess. 849
Immersing branched surfaces in dimension three. By Joe Christy. 853
A characterization of the 2-sphere in terms of Jordan curve separation. By Carsten
Thomassen. 863
A note on determinacy. By J. W. Bruce, M. A. S. Ruas, and M. J. Saia. 865
Errata to "Norms
of Hankel operators on a bidisc". By Takahiko Nakazi. 873
Errata to "Maps between orbifolds". By Masayuki Yamasaki. 875
Vol. 115, No. 4 August 1992 Whole No. 398
A. ALGEBRA AND NUMBER THEORY
Locally complete intersection multiple structures on smooth algebraic curves. By M.
BORATYNSKI. 877
Zero-dimensionality in commutative rings. By Robert Gilmer and William Heinzer . 881
The class of all S-pregroups is not finitely axiomatizable. By Deko V. Dekov. 895
Trigonometric polynomials and lattice points. By J. Cilleruelo and A. Cordoba .... 899
Maximal ideals in Laurent polynomial rings. By Budh Nashier. 907
Free summands in maximal Cohen-Macaulay approximations and Eisenbud operators over
hypersurface rings. By Alex Martsinkovsky. 915
The automorphism group of a function field. By Manohar Mad an and Michael Rosen 923
Groups with many rewritable products. By Mario Curzio, Patrizia Longobardi, Mercede
Maj, and Akbar Rhemtulla . 931
A note on coherent rings of dimension two. By Zhao Yicai. 935
The Evans-Griffith syzygy theorem and Bass numbers. By Winfried Bruns. 939
Weinbaum's conjecture on unique subwords of nonperiodic words. By Andrew J. Duncan
and James Howie. 947
Finite groups in which the degrees of the nonlinear irreducible characters are distinct. By
Yakov Berkovich, David Chillag, and Marcel Herzog. 955
Gaussian periods and units in certain cyclic fields. By Andrew J. Lazarus. 961
B. ANALYSIS
The Fourier-Bessel series representation of the pseudo-differential operator (—x~ ' D)u. By
O. P. Singh and J. N. Pandey. 969
Polydiscs and nontangential limits. By Kohur Gowrisankaran. 977
The behavior of the analytically continued resolvent operator near k = 0 and an application
to energy decay. By Kazuhiro Yamamoto. 985
Commutator approximants. By P. J. Maher. 995
Imbedding of any vector field in a scalar semilinear parabolic equation. By P. PoláCik . 1001
Two new open mapping theorems for analytic multivalued functions. By Line Baribeau
and Sarah Harbottle. 1009
Density of the polynomials in the Hardy space of certain slit domains. By John Akeroyd 1013
A short proof of the Y. Katznelson's and L. Tzafriri's theorem. By Vu Quôc Phóng .. 1023
Compact and weakly compact homomorphisms between algebras of differentiable functions.
By Manuel González and Joaquín M. Gutiérrez. 1025
Positivity of global branches of fully nonlinear elliptic boundary value problems. By Timothy
J. Healey and Hansjörg Kielhöfer . 1031
Nonlinear p-Laplacian problems on unbounded domains. By Lao Sen Yu . 1037
Some Remarks on the Daugavet Equation. By P. Wojtaszczyk. 1047
A note on Krylov-Tso's parabolic inequality. By Luis Escauriaza. 1053
Reflexivity of commutative subspace lattices. By Richard Haydon. 1057
The first interval of stability of a periodic equation of Duffing type. By Rafael Ortega 1061
On a regularity theorem for weak solutions to transmission problems with internal Lipschitz
boundaries. By L. Escauriaza, E. B. Fabes, and G Verchota. 1069
A note on a theorem of J. Diestel and B. Faires. By J. C. Ferrando and M. López-
Pellicer. 1077
Global attractivity in nonlinear delay difference equations. By V. Lj. Kocic and G. Ladas 1083
C. APPLIED MATHEMATICS
A characterization of weighted voting. By Alan Taylor and William Zwicker. 1089
E. LOGIC AND FOUNDATIONS
On the Rosenthal compacta and analytic sets. By Adam Krawczyk. 1095
F. STATISTICS AND PROBABILITY
Generalized first boundary value problem for Schrödinger equation. By Ren Yanxia .. 1101
G. TOPOLOGY
On the Kostant convexity theorem. By Francois Ziegler. 1111
Handlebody complements in the 3-sphere: A remark on a theorem of Fox. By Martin
Scharlemann. 1115
An order theoretic characterization of Peano continua. By Sarah E. Holte. 1119
Pseudocontraction and homotopy of the sin(l/x) curve. By Hidefumi Katsuura. 1129
Noncompact chain recurrence and attraction. By Mike Hurley. 1139
The iterated total squaring operation. By Luciano Lomonaco. 1149
Lipscomb's L(A) space fractalized in Hubert's l2(A) space. By S. L. Lipscomb and J. C.
Perry. 1157
SHORTER NOTES
A characterization of the sphere in terms of single-layer potentials. By Henrik
Shahgholian. 1167
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Managing Editor: Irwin Kra, SUNY at Stony Brook, Stony Brook, NY 11794-3651email: irwin@math.sunysb.edu
1. ODE, PDE, GLOBAL ANALYSIS, AND DYNAMICAL SYSTEMSCoordinating Editor : Barbara Lee Keyfitz, University of Houston, Houston, TX 77204-3476email: keyfitz@uh.edu
Partial differential equationsBarbara Lee Keyfitz
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Real analysisAndrew Bruckner
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Analytic number theory and automorphic forms
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Operations researchJoseph S. B. MitchellDepartment of Applied Mathematics
and StatisticsSUNY at Stony BrookStony Brook, NY 11794-3600email: jsbm@ams.sunysb.edu
CONTENTS—Continued from back cover
C. APPLIED MATHEMATICS
A characterization of weighted voting. By Alan Taylor and William Zwicker. 1089
E. LOGIC AND FOUNDATIONS
On the Rosenthal compacta and analytic sets. By Adam Krawczyk. 1095
F. STATISTICS AND PROBABILITY
Generalized first boundary value problem for Schrödinger equation. By Ren Yanxia . . 1101
G. TOPOLOGY
On the Kostant convexity theorem. By Francois Ziegler. 1111
Handlebody complements in the 3-sphere: A remark on a theorem of Fox. By Martin
Scharlemann. 1115
An order theoretic characterization of Peano continua. By Sarah E. Holte. 1119
Pseudocontraction and homotopy of the sin( \/x) curve. By Hidefumi Katsuura. 1129
Noncompact chain recurrence and attraction. By Mike Hurley. 1139
The iterated total squaring operation. By Luciano Lomonaco. 1149
Lipscomb's L(A) space fractalized in Hubert's I2(A) space. By S. L. Lipscomb and J. C.
Perry. 1157
SHORTER NOTES
A characterization of the sphere in terms of single-layer potentials. By Henrik
Shahgholian. 1167
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
CONTENTS
Vol. 115, No. 4 August 1992 Whole No. 398
A. ALGEBRA AND NUMBER THEORY
Locally complete intersection multiple structures on smooth algebraic curves. By M.
BORATYNSKI. 877
Zero-dimensionality in commutative rings. By Robert Gilmer and William Heinzer . 881
The class of all 5-pregroups is not finitely axiomatizable. By Deko V. Dekov. 895
Trigonometric polynomials and lattice points. By J. Cilleruelo and A. Cordoba .... 899
Maximal ideals in Laurent polynomial rings. By Budh Nashier. 907
Free summands in maximal Cohen-Macaulay approximations and Eisenbud operators over
hypersurface rings. By Alex Martsinkovsky. 915
The automorphism group of a function field. By Manohar Madan and Michael Rosen 923
Groups with many rewritable products. By Mario Curzio, Patrizia Longobardi, Mercede
Maj, and Akbar Rhemtulla . 931
A note on coherent rings of dimension two. By Zhao Yicai. 935
The Evans-Griffith syzygy theorem and Bass numbers. By Winfried Bruns. 939
Weinbaum's conjecture on unique subwords of nonperiodic words. By Andrew J. Duncan
and James Howie. 947
Finite groups in which the degrees of the nonlinear irreducible characters are distinct. By
Yakov Berkovich, David Chillag, and Marcel Herzog. 955
Gaussian periods and units in certain cyclic fields. By Andrew J. Lazarus. 961
B. ANALYSIS
The Fourier-Bessel series representation of the pseudo-differential operator (—x~lD)". By
O. P. Singh and J. N. Pandey. 969
Polydiscs and nontangential limits. By Kohur Gowrisankaran. 977
The behavior of the analytically continued resolvent operator near k = 0 and an application
to energy decay. By Kazuhiro Yamamoto. 985
Commutator approximants. By P. J. Maher. 995
Imbedding of any vector field in a scalar semilinear parabolic equation. By P. Polácik . 1001
Two new open mapping theorems for analytic multivalued functions. By Line Baribeau
and Sarah Harbottle. 1009
Density of the polynomials in the Hardy space of certain slit domains. By John Akeroyd 1013
A short proof of the Y. Katznelson's and L. Tzafriri's theorem. By Vu Quôc Phóng . . 1023
Compact and weakly compact homomorphisms between algebras of differentiable functions.
By Manuel González and Joaquín M. Gutiérrez. 1025
Positivity of global branches of fully nonlinear elliptic boundary value problems. By Timothy
J. Healey and Hansjörg Kielhöfer . 1031
Nonlinear p-Laplacian problems on unbounded domains. By Lao Sen Yu . 1037
Some Remarks on the Daugavet Equation. By P. Wojtaszczyk. 1047
A note on Krylov-Tso's parabolic inequality. By Luis Escauriaza. 1053
Reflexivity of commutative subspace lattices. By Richard Haydon. 1057
The first interval of stability of a periodic equation of Duffing type. By Rafael Ortega 1061
On a regularity theorem for weak solutions to transmission problems with internal Lipschitz
boundaries. By L. Escauriaza, E. B. Fabes, and G. Verchota. 1069
A note on a theorem of J. Diestel and B. Faires. By J. C. Ferrando and M. López-
Pellicer. 1077
Global attractivity in nonlinear delay difference equations. By V. Lj. KociC and G. Ladas 1083
Continued on inside back cover
Recommended