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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：

270千字

开本：

16开

装帧形式：

精装

页数：

暂无

最新
印次时间：

2022年01月

目录
- 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