UN CRLTERIO GENERALEDl DIAGONALIZZABIUTA'(21/12/2016In qmstu note brews him a vent presented wee dimstuetrm suef-fate del wtenie generale d' diagonal' Habib, give' contentin un alto contribute.TEOREMA_: tie X me spate d' dimension finitelmm nulhe.DE#slhre X,,.., Xie i sui autoueloi eWEAK i ulatin' ath spat che-oloA e-diagonal. ztabih see a x £ dim A"i=dimX-, 4'heDIM.it

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da ai, in fmdim a-Atiin quanta la somme dye auto spew i un sola paso d' X, he ai la±me dimewmn I mm mogjwu di quella d' X.C. S. I dim Ati = dim X ? A dbgowdittohledelle base arhtueveInfalti, meme ii.-uh,, ii.-uk.,-., unk.. utfet A ×', AH,-., Atk in peltivemeute. Poiohe Axis no tut' auto spas ei netter' uj tun' mm nnlli in quants mum mi d' bad, eni oneauto reltbi d' it. Per ipohw, il low nine d-MX, some innateindependent pe' chi, enendo la somme d' autos pot' etude, daFE xi iii, t EI a i. iii. +.-. + II at u: ?¥sqmmhitdim XEXc/somewe÷ ''2¥

II. knife,--. E.e, poihi i vethi uf.. u?ne who me box d' AH, e qumd' independents,he tutti i coefroenti delle combination linear' dekbmo annulled.N; we:#deidimX auto vethr' independent in X du, per iltaemede' generator, I me ben d' X. µyun in L'ermd-/s. hemmyoymhym.mgvttn {uj: it.-k, j=e.-ni} I-NOTA; fl aihio he valid to generate, e um i limteto a sot operator.su spat' wmplebi; mm abliame mai adopueto ilteoume fundamentaldell' algebra! Le un ofuetu he athovehn net e la somme delle dimension'i d' agnattzabih. Alarm different si ravriseue ni atei pin#net.che useue be multi ptite, ju i qui si imende I contribute pnadeate.2de vhetin' autos per i pen a quelle del domino dele' geetre, no