泛函分析导引（影印版）

样章

作者：

Steven G. Krantz

定价：

99.00元

ISBN：

978-7-04-057024-3

版面字数：

270.000千字

开本：

16开

全书页数：

暂无

装帧形式：

精装

重点项目：

暂无

出版时间：

2022-02-28

读者对象：

学术著作

一级分类：

自然科学

二级分类：

数学与统计

三级分类：

分析

暂无

前辅文
1 Fundamentals
- 1.1 What is Functional Analysis?
- 1.2 Normed Linear Spaces
- 1.3 Finite-Dimensional Spaces
- 1.4 Linear Operators
- 1.5 The Baire Category Theorem
- 1.6 The Three Big Results
- 1.7 Applications of the Big Three
2 Ode to the Dual Space
- 2.1 Introduction
- 2.2 Consequences of the Hahn-Banach Theorem
3 Hilbert Space
- 3.1 Introduction
- 3.2 The Geometry of Hilbert Space
4 The Algebra of Operators
- 4.1 Preliminaries
- 4.2 The Algebra of Bounded Linear Operators
- 4.3 Compact Operators
5 Banach Algebra Basics
- 5.1 Introduction to Banach Algebras
- 5.2 The Structure of a Banach Algebra
- 5.3 Ideals
- 5.4 The Wiener Tauberian Theorem
6 Topological Vector Spaces
- 6.1 Basic Ideas
- 6.2 Fr´echet Spaces
7 Distributions
- 7.1 Preliminary Remarks
- 7.2 What is a Distribution?
- 7.3 Operations on Distributions
- 7.4 Approximation of Distributions
- 7.5 The Fourier Transform
8 Spectral Theory
- 8.1 Background
- 8.2 The Main Result
9 Convexity
- 9.1 Introductory Thoughts
- 9.2 Separation Theorems
- 9.3 The Main Result
10 Fixed-Point Theorems
- 10.1 Banach’s Theorem
- 10.2 Two Applications
- 10.3 The Schauder Theorem
Table of Notation
Glossary
Bibliography
Index
About the Author