Introduction to Functional Analysis 2 Oxford Graduate Texts in Mathematics
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Introduction to Functional Analysis 2 Oxford Graduate Texts in Mathematics 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.
Details
| OPC | PDHSTDN |
|---|---|
| Codes | 0198514859 (ISBN-10) |
| 9780198514855 (ISBN) |
Disclaimer: The information below is provided by various external sources and should be used as a guide only.
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.
Alternative names:
- ISBN Introduction to Functional Analysis book 448 pages
Detailed Product Information
Features
| Release date (DD/MM/YYYY) | 31/07/1997 |
|---|---|
| Number of pages | 448 pages |
| Written by | Reinhold Meise, Dietmar Vogt, M. S. Ramanujan |
| Publisher | Oxford University Press |
| Suggested gender | Any gender |
| International Standard Book Number (ISBN) | 9780198514855 |
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