Functional Analysis / Edition 2

Functional Analysis / Edition 2

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by Walter Rudin
     
 

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… See more details below

Overview

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.

This text is part of the Walter Rudin Student Series in Advanced Mathematics.

Product Details

ISBN-13:
9780070542365
Publisher:
McGraw-Hill Companies, The
Publication date:
01/01/1991
Series:
International Series in Pure and Applied Mathematics Series
Edition description:
REV
Pages:
448
Product dimensions:
8.00(w) x 11.00(h) x 1.16(d)

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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