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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Fundamentals of Functional Analysis (Hardcover, 1996 ed.)
Loot Price: R2,602
Discovery Miles 26 020
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Fundamentals of Functional Analysis (Hardcover, 1996 ed.)
Series: Texts in the Mathematical Sciences, 12
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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."
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