图书信息
图书目录
泛函分析导引（影印版）
暂无简介
作者：
Steven G. Krantz
定价：
99.00 元
出版时间：
2022-02-28
ISBN：
978-7-04-057024-3
物料号：
57024-00
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
重点项目：
暂无
版面字数：
270.000千字
开本：
16开
装帧形式：
精装
版次：
1
最新版次印刷时间：
2022年
- 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
