Semën Samsonovich Kutateladze

(Author)

Fundamentals of Functional Analysis (1996)Hardcover - 1996, 29 February 1996

Fundamentals of Functional Analysis (1996)
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Part of Series
Texts in the Mathematical Sciences
Part of Series
Kluwer Texts in the Mathematical Sciences
Part of Series
Mathematics and Its Applications
Part of Series
Texts in the Mathematical Sciences (Closed)
Print Length
278 pages
Language
English
Publisher
Springer
Date Published
29 Feb 1996
ISBN-10
0792338987
ISBN-13
9780792338987

Description

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.

Product Details

Author:
Semën Samsonovich Kutateladze
Book Edition:
1996
Book Format:
Hardcover
Country of Origin:
US
Date Published:
29 February 1996
Dimensions:
23.39 x 15.6 x 1.75 cm
ISBN-10:
0792338987
ISBN-13:
9780792338987
Language:
English
Location:
Dordrecht
Pages:
278
Publisher:
Weight:
589.67 gm

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