Fundamentals of Functional Analysis

By:

Semen Samsonovich Kutateladze

Format:

Hardback

Series:

Texts in the Mathematical Sciences

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Description

This is a 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.

Release date Australia

February 29th, 1996

Author

Semen Samsonovich Kutateladze

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

XIV, 278 p.

Pages

278

Series

Texts in the Mathematical Sciences

Dimensions

156x234x17

ISBN-13

9780792338987

Product ID

2051373

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