Functional Analysis,Rudin

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.


Table of Content:





PART I: GENERAL THEORY



Chapter 1: Topological Vector Space

Chapter 2: Completeness

Chapter 3: Convexity

Chapter 4: Duality in Banach Spaces

Chapter 5: Some Applications




PART II: DISTRIBUTIONS AND FOURIER TRANSFORMS




Chapter 6: Test Functions and Distributions

Chapter 7: Fourier Transforms

Chapter 8: Applications to Differential Equations

Chapter 9: Tauberian Theory




PART III: BANACH ALGEBRAS AND SPECTRAL THEORY




Chapter 10: Banach Algebras

Chapter 11: Commutative Banach Algebras

Chapter 12: Bounded Operators on a Hillbert Space

Chapter 13: Unbounded Operators

Appendix A: Compactness and Continuity

Appendix B: Notes and Comments

Bibliography

List of Special Symbols

Index