Fundamentals of Functional Analysis
Author:   Semën Samsonovich Kutateladze
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1996
Volume:   12
ISBN:  

9789048146611


Pages:   278
Publication Date:   08 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
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Fundamentals of Functional Analysis


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Overview

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.

Full Product Details

Author:   Semën Samsonovich Kutateladze
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1996
Volume:   12
Dimensions:   Width: 16.00cm , Height: 1.50cm , Length: 24.00cm
Weight:   0.510kg
ISBN:  

9789048146611


ISBN 10:   9048146615
Pages:   278
Publication Date:   08 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1. An Excursion into Set Theory.- 2. Vector Spaces.- 3. Convex Analysis.- 4. An Excursion into Metric Spaces.- 5. Multinormed and Banach Spaces.- 6. Hilbert Spaces.- 7. Principles of Banach Spaces.- 8. Operators in Banach Spaces.- 9. An Excursion into General Topology.- 10. Duality and Its Applications.- 11. Banach Algebras.- References.- Notation Index.

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