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Functional Analysis

Functional Analysis - 2nd edition

ISBN13: 978-0070542365

Cover of Functional Analysis 2ND 91 (ISBN 978-0070542365)
ISBN13: 978-0070542365
ISBN10: 0070542368
Edition: 2ND 91
Copyright: 1991
Publisher: McGraw-Hill Publishing Company
Published: 1991
International: No

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Functional Analysis - 2ND 91 edition

ISBN13: 978-0070542365

Walter Rudin

ISBN13: 978-0070542365
ISBN10: 0070542368
Edition: 2ND 91
Copyright: 1991
Publisher: McGraw-Hill Publishing Company
Published: 1991
International: No
Summary

This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem.

Table of Contents

Preface.

PART ONE: GENERAL THEORY

1. Topological Vector Space
2. Completeness
3. Convexity
4. Duality in Banach Spaces
5. Some Applications

PART TWO: DISTRIBUTIONS AND FOURIER TRANSFORMS

6. Test Functions and Distributions
7. Fourier Transforms
8. Applications to Differential Equations
9. Tauberian Theory

PART THREE: BANACH ALGEBRAS AND SPECTRAL THEORY

10. Banach Algebras
11. Commutative Banach Algebras
12. Bounded Operators on a Hillbert Space
13. Unbounded Operators
Appendix A: Compactness and Continuity
Appendix B: Notes and Comments
Bibliography
List of Special Symbols
Index

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