Functional Analysis,Rudin by Walter Rudin

Book Summary of 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

Details of Book: Functional Analysis,Rudin

Book:	Functional Analysis,Rudin
Author:	Walter Rudin
ISBN:	0070619883
ISBN-13:	9780070619883 ,  978-0070619883
Binding:	Hardcover
Publishing Date:	2007
Publisher:	Tata Mcgraw Hill Education Private Limited
Edition:	2nd
Number of Pages:	448
Language:	English