Fundamentals of Functional Analysis
Author:   Semën Samsonovich Kutateladze
Publisher:   Springer
Edition:   1996 ed.
Volume:   12
ISBN:  

9780792338987


Pages:   278
Publication Date:   29 February 1996
Format:   Hardback
Availability:   In Print   Availability explained
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Fundamentals of Functional Analysis


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Overview

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.

Full Product Details

Author:   Semën Samsonovich Kutateladze
Publisher:   Springer
Imprint:   Springer
Edition:   1996 ed.
Volume:   12
Dimensions:   Width: 15.60cm , Height: 1.70cm , Length: 23.40cm
Weight:   1.310kg
ISBN:  

9780792338987


ISBN 10:   0792338987
Pages:   278
Publication Date:   29 February 1996
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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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