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MessagePosté le: Jeu 29 Sep - 02:27 (2016)    Sujet du message: Functional Analysis In Architecture Pdf Free Répondre en citant




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Banach..spaces[edit]...Find.more.about.Functional.analysis.at.Wikipedia's.sister.projects.Quotations.from.Wikiquote.Textbooks.from.Wikibooks...Please...improve...this...article...by...removing...excessive...or...inappropriate...external...links,...and...converting...useful...links...where...appropriate...into...footnote...references....If...for...all...x...in...X...one...has...sup...T...&#x2208;...F...&#x2225;...T...(...x...)...&#x2225;...Y...<...&#x221E;...,...{displaystyle...sup...nolimits...{Tin...F}T(x){Y}<infty...,}...then...sup...T...&#x2208;...F...&#x2225;...T...&#x2225;...B...(...X...,...Y...)...<...&#x221E;.......Hahn-Banach..theorem[edit]...Eidelman,..Yuli,..Vitali..Milman,..and..Antonis..Tsolomitis:..Functional..Analysis:..An..Introduction,..American..Mathematical..Society,..2004...Further...reading[edit]....

An...important...example...is...a...Hilbert...space,...where...the...norm...arises...from...an...inner...product....{displaystyle...sup...nolimits...{Tin...F}T{B(X,Y)}<infty....}.......v...t...e...Areas...of...mathematics...outline...topic...lists...Areas...Algebra...elementary...linear...multilinear...abstract...Arithmetic/...Number...theory...Calculus/...Analysis...Category...theory...Combinatorics...Computation...Control...theory...Differential...equations/...Dynamical...systems...Functional...analysis...Game...theory...Geometry...discrete...algebraic...differential...finite...Graph...theory...Information...theory...Lie...theory...Mathematics...and...art...Mathematical...logic...Mathematical...physics...Mathematical...statistics...Numerical...analysis...Optimization...Order...theory...Probability...Recreational...mathematics...Representation...theory...Set...theory...Statistics...Topology...Trigonometry...Divisions...Pure...Applied...Discrete...Computational......Category......Portal.......These...spaces...are...of...fundamental...importance...in...many...areas,...including...the...mathematical...formulation...of...quantum...mechanics....This.article's.use.of.external.links.may.not.follow.Wikipedia's.policies.or.guidelines..{displaystyle..psi..(x)leq..p(x)qquad..forall..xin..V.}.....Freidman,...A.:...Foundations...of...Modern...Analysis,...Dover...Publications,...Paperback...Edition,...July...21,...2010...Giles,J.R.:...Introduction...to...the...Analysis...of...Normed...Linear...Spaces,Cambridge...University...Press,2000...Hirsch...F.,...Lacombe...G....Theory..of..Linear..Operations...The.statement.of.the.theorem.is.no.longer.true.if.either.space.is.just.assumed.to.be.a.normed.space,.but.is.true.if.X.and.Y.are.taken.to.be.Frchet.spaces..Lecture.Notes.on.Functional.Analysis.by.Yevgeny.Vilensky,.New.York.University..

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