Introduction to Functional Analysis

Hardcover | July 1, 1997

byReinhold Meise, Dietmar VogtTranslated byM. S. Ramanujan

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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, includingthe 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 inHilbert spaces. An introduction to locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Frechet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Frechet spaces and thesplitting of such sequences are presented. These results are not contained in any other book in this field.

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From the Publisher

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, includingthe theorem of HahnBanach. The spaces (p Lp...

Reinhard Meise is at Heinrich Heine University, Dusseldorf. Dietmar Vogt is at Beigische University, Wouppeitat.

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Paperback|Aug 3 2011

$64.95

Format:HardcoverDimensions:448 pages, 9.21 × 6.14 × 1.1 inPublished:July 1, 1997Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198514859

ISBN - 13:9780198514855

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Table of Contents

Preliminaries1. Banach spaces and Metric Linear Spaces2. Spectral of Theory Linear Operators3. Frechet Spaces and their Dual Spaces

Editorial Reviews

The book can be warmly recommended to graduate students of mathematics and physics and also everybody interested in functional analysis.