泛函分析（英文版 原书第2版 典藏版）

　　《泛函分析（英文版 原书第2版 典藏版）》是国际著名教材，在材料的取舍和处理手法上很有特色，对某些公理进行了准确描述，并精彩地讨论了一些深入的专题，还介绍了在其他数学分支（如微分方程）中有价值的应用。用作者自己的话来讲，他并不期望写一部百科全书，而是为进一步的探索打开通道。《泛函分析（英文版 原书第2版 典藏版）》叙述清楚，论证严谨，不少地方的注释相当精辟并具有启发性，可作为高等院校数学专业高年级本科生和研究生的教材和参考书。

暂缺《泛函分析（英文版 原书第2版 典藏版）》作者简介

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