《經典巴拿赫空間 I 和 II》是2010年1月世界圖書出版公司出版的圖書，作者是(美)林登斯托斯。
基本介紹
- 書名：經典巴拿赫空間 I 和 II
- 作者：(美)林登斯托斯
- 出版社：世界圖書出版公司
- 出版時間：2010年1月
內容簡介,目錄,
內容簡介
本書是Springer數學經典教材之一。本書延續了該系列書的一貫風格，深入但不深沉。材料新穎，許多內容是同類書籍不具備的。對於學習Banach空間結構理論的學者來說，這是一本參考價值極高的書籍；對於學習該科目的讀者，本書也是同等重要。目次：schauder 基；C0空間和lp空間；對稱基；O rlicz序列空間。
讀者對象：數學專業高年級的學生、老師和相關的科研人員。
讀者對象：數學專業高年級的學生、老師和相關的科研人員。
目錄
1. Schauder Bases
a. Existence of Bases and Examples
b. Schauder Bases and Duality
c. Unconditional Bases
d. Examples of Spaces Without an Unconditional Basis
e. The Approximation Property
f. Biorthogonal Systems
g. Schauder Decompositions
2. The Spaces co and lp
a. Projections in co and lp and Characterizations of these Spaces
b. Absolutely Summing Operators and Uniqueness of Unconditional Bases
c. Fredholm Operators, Strictly Singular Operators and Complemented Subspaces of lp lr
d. Subspaces of Co and lp and the Approximation Property, Complementably Universal Spaces
e. Banach Spaces Containing Iv or co
f. Extension and Lifting Properties, Automorphisms of loo, co and lx
3. Symmetric Bases
a. Properties of Symmetric Bases, Examples and Special Block Bases
b. Subspaces of Spaces with a Symmetric Basis
4. Orlicz Sequence Spaces
a. Subspaces of Orlicz Sequence Spaces which have a Symmetric Basis
b. Duality and Complemented Subspaces
c. Examples of Orlicz Sequence Spaces.
d. Modular Sequence Spaces and Subspaces of Ip lr
e. Lorentz Sequence Spaces
References
Subject Index
a. Existence of Bases and Examples
b. Schauder Bases and Duality
c. Unconditional Bases
d. Examples of Spaces Without an Unconditional Basis
e. The Approximation Property
f. Biorthogonal Systems
g. Schauder Decompositions
2. The Spaces co and lp
a. Projections in co and lp and Characterizations of these Spaces
b. Absolutely Summing Operators and Uniqueness of Unconditional Bases
c. Fredholm Operators, Strictly Singular Operators and Complemented Subspaces of lp lr
d. Subspaces of Co and lp and the Approximation Property, Complementably Universal Spaces
e. Banach Spaces Containing Iv or co
f. Extension and Lifting Properties, Automorphisms of loo, co and lx
3. Symmetric Bases
a. Properties of Symmetric Bases, Examples and Special Block Bases
b. Subspaces of Spaces with a Symmetric Basis
4. Orlicz Sequence Spaces
a. Subspaces of Orlicz Sequence Spaces which have a Symmetric Basis
b. Duality and Complemented Subspaces
c. Examples of Orlicz Sequence Spaces.
d. Modular Sequence Spaces and Subspaces of Ip lr
e. Lorentz Sequence Spaces
References
Subject Index
