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Study Fundamentals of Functional Analysis (Texts in the Mathematical Sciences)

Posted on 2010-03-16




Name:Study Fundamentals of Functional Analysis (Texts in the Mathematical Sciences)
ASIN/ISBN:0792338987
Language:English
File size:1.4 Mb
Publish Date: 1996-02-29
ISBN: 0792338987
Pages: 292 pages
File Type: PDF
File Size: 1,4 MB
Other Info: Springer
   Study Fundamentals of Functional Analysis (Texts in the Mathematical Sciences)

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S.S. Kutateladze "Fundamentals of Functional Analysis (Texts in the Mathematical Sciences)"

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. More than one hundred famous `named' theorems, culminating in the Gelfand--Naimark--Segal construction for C*-algebras, are treated, and complete proofs are given. This volume, which is regarded already as a standard textbook in functional analysis, has been translated from the second, completely revised and updated Russian edition. It incorporates new sections on the Schwartz spaces of distributions, Radon measures, and a supplementary list of theoretical exercises and problems. Audience: This monograph will be of value to researchers and students who are interested in functional analysis.

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