《泛函分析（英文版 原書第2版 典藏版）》是國際著名教材，在材料的取舍和處理手法上很有特色，對某些公理進行了準確描述，並精彩地討論了一些深入的專題，還介紹了在其他數學分支（如微分方程）中有價值的應用。用作者自己的話來講，他並不期望寫一部百科全書，而是為進一步的探索打開通道。
《泛函分析（英文版 原書第2版 典藏版）》敘述清楚，論證嚴謹，不少地方的注釋相當精闢並具有啟發性，可作為高等院校數學專業高年級本科生和研究生的教材和參考書。

Preface
About the Author

PartⅠ General Theory
1 Topological Vector Spaces
Introduction
Separation properties
Linear mappings
Finite-dimensional spaces
Metrization
Boundedness and continuity
Seminorms and local convexity
Quotient spaces
Examples
Exercises
2 Completeness
Baire category
The Banach-Steinhaus theorem
The open mapping theorem
The closed graph theorem
Bilinear mappings
Exercises
3 Convexity
The Hahn-Banach theorems
Weak topologies
Compact convex sets
Vector-valued integration
Holomorphic functions
Exercises
4 Dualityin Banach Spaces
The normed dual of a normed space
Adjoints
Compact operators
Exercises
5 Some Applications
A continuity theorem
Closed subspaces of LP-spaces
The range of a vector-valued measure
A generalized Stone-Weierstrass theorem
Two interpolation theorems
Kakutani's fixed point theorem
Haar measure on compact groups
Uncomplemented subspaces
Sums of Poisson kernels
Two more fixed point theorems
Exercises

PartⅡ Distributions and Fourier Transforms
6 Test Functions and Distributions
Introduction
Test function spaces
Calculus with distributions
Localization
Supports of distributions
Distributions as derivatives
Convolutions
Exercises
7 Fourier Transforms
Basic properties
Tempered distributions
Paley-Wiener theorems
Sobolev's lemma
Exercises
8 Applications to Differential Equations
Fundamental solutions
Elliptic equations
Exercises
……
Part Ⅲ Banach Algebras and Spectral Theory
Appendix A Compactness and Continuity
Appendix B Notes and Comments
Bibliography
List of Special Symbols
Index