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Fundamentals of Functional Analysis von Semën Samsonovich Kutateladze (1996, Gebundene Ausgabe)

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to the English Translation This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the Riesz-Dunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces. With standard provisos the presentation is self-contained, exposing about a h- dred famous "named" theorems furnished with complete proofs and culminating in the Gelfand-Nalmark-Segal construction for C*-algebras. The first Russian edition was printed by the Siberian Division of "Nauka" P- lishers in 1983. Since then the monograph has served as the standard textbook on functional analysis at the University of Novosibirsk. This volume is translated from the second Russian edition printed by the Sobolev Institute of Mathematics of the Siberian Division of the Russian Academy of Sciences· in 1995. It incorporates new sections on Radon measures, the Schwartz spaces of distributions, and a supplementary list of theoretical exercises and problems. This edition was typeset using AMS-'lEX, the American Mathematical Society's 'lEX system. To clear my conscience completely, I also confess that := stands for the definor, the assignment operator, signifies the end of the proof.

Produktkennzeichnungen

ISBN-100792338987

ISBN-139780792338987

eBay Product ID (ePID)61218916

Produkt Hauptmerkmale

VerlagSpringer Netherlands, Springer Netherland

Erscheinungsjahr1996

Anzahl der Seiten296 Seiten

SpracheEnglisch

PublikationsnameFundamentals of Functional Analysis

ProduktartLehrbuch

AutorSemën Samsonovich Kutateladze

ReiheTexts in The Mathematical Sciences

FormatGebundene Ausgabe

Zusätzliche Produkteigenschaften

HörbuchNo

InhaltsbeschreibungHc Runder Rücken Kaschiert

Nummer Innerhalb der Serie12

Item Height2cm

Item Length24cm

Item Width16cm

Item Weight612g