Fundamentals of Functional Analysis /
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 th...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands,
1996.
|
| Series: | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series ;
12. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
|---|---|
| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xiv, 277 pages) |
| ISBN: | 9789401587556 (electronic bk.) 9401587558 (electronic bk.) |
| ISSN: | 0927-4529 ; |