Springer數(shù)學(xué)經(jīng)典教材：經(jīng)典巴拿赫空間1和2簡介，目錄書摘
2020-02-11 14:28
來源：京東
作者：京東
Springer數(shù)學(xué)經(jīng)典教材：經(jīng)典巴拿赫空間1和2
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內(nèi)容簡介: 《經(jīng)典巴拿赫空間1和2》延續(xù)了該系列書的一貫風(fēng)格，深入但不深沉。材料新穎，許多內(nèi)容是同類書籍不具備的。對于學(xué)習(xí)Banach空間結(jié)構(gòu)理論的學(xué)者來說，這是一本參考價值極高的書籍；對于學(xué)習(xí)該科目的讀者，《經(jīng)典巴拿赫空間1和2》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(shù)學(xué)專業(yè)高年級的學(xué)生、老師和相關(guān)的科研人員。
讀者對象：數(shù)學(xué)專業(yè)高年級的學(xué)生、老師和相關(guān)的科研人員。
作者簡介:
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
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