Product details:
| ISBN13: | 9780198514855 |
| ISBN10: | 0198514859 |
| Binding: | Hardback |
| No. of pages: | 448 pages |
| Size: | 242x162x28 mm |
| Weight: | 757 g |
| Language: | English |
| 0 |
Category:
Introduction to Functional Analysis
Series:
Oxford Graduate Texts in Mathematics;
2;
Publisher: OUP Oxford
Date of Publication: 31 July 1997
Number of Volumes: laminated boards
Normal price:
Publisher's listprice:
GBP 142.50
GBP 142.50
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Short description:
The book provides a modern introduction to a central part of mathematical analysis. It can be used as a self-contained textbook for beginner courses in functional analysis. In its last chapter recent results from the theory of Fréchet spaces are presented which so far have not been available in book form in English. This part of the book can be used in seminars and for gaining access to this active area of research.
Long description:
The book is written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra. It can be used as a textbook for courses and/or seminars in functional analysis. Starting from metric spaces it proceeds quickly to the central results of the field, including the theorem of HahnBanach. The spaces (p Lp (X,(), C(X)' and Sobolov spaces are introduced. A chapter on spectral theory contains the Riesz theory of compact operators, basic facts on Banach and C*-algebras and the spectral representation for bounded normal and unbounded self-adjoint operators in Hilbert spaces. An introduction to locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Fréchet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Fréchet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field.
The book can be warmly recommended to graduate students of mathematics and physics and also everybody interested in functional analysis.
The book can be warmly recommended to graduate students of mathematics and physics and also everybody interested in functional analysis.
Table of Contents:
Preliminaries
Banach spaces and Metric Linear Spaces
Spectral of Theory Linear Operators
Fréchet Spaces and their Dual Spaces
Banach spaces and Metric Linear Spaces
Spectral of Theory Linear Operators
Fréchet Spaces and their Dual Spaces
