Springer數學(xué)經(jīng)典教材：經(jīng)典巴拿赫空間1和2簡(jiǎn)介，目錄書(shū)摘
2020-02-11 14:28
來(lái)源：京東
作者：京東
Springer數學(xué)經(jīng)典教材：經(jīng)典巴拿赫空間1和2
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內容簡(jiǎn)介: 《經(jīng)典巴拿赫空間1和2》延續了該系列書(shū)的一貫風(fēng)格，深入但不深沉。材料新穎，許多內容是同類(lèi)書(shū)籍不具備的。對于學(xué)習Banach空間結構理論的學(xué)者來(lái)說(shuō)，這是一本參考價(jià)值極高的書(shū)籍；對于學(xué)習該科目的讀者，《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(chēng)基；O rlicz序列空間。
讀者對象：數學(xué)專(zhuān)業(yè)高年級的學(xué)生、老師和相關(guān)的科研人員。
讀者對象：數學(xué)專(zhuān)業(yè)高年級的學(xué)生、老師和相關(guān)的科研人員。
作者簡(jiǎn)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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