图书信息
图书目录
线性算子分解和Banach空间的几何（影印版）
暂无简介
作者：
Gilles Pisier
定价：
99.00元
出版时间：
2020-04-22
ISBN：
978-7-04-053503-7
物料号：
53503-00
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：
代数几何学
重点项目：
暂无
版面字数：
270.000千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
- 前辅文
- Chapter 0. Preliminary Results and Background
- a. General notation
- b. An introduction to tensor products. The approximation property. Nuclear operators
- c. Local reflexivity
- Chapter 1. Absolutely Summing Operators and Basic Applications
- a. Absolutely summing operators
- b. Applications to Banach spaces
- c. An introduction to duality theory. Integral operators
- Notes and references
- Chapter 2. Factorization through a Hilbert Space
- a. Operators factoring through a Hilbert space
- b. A duality theorem
- Notes and references
- Chapter 3. Type and Cotype. Kwapieh's Theorem
- a. Type and cotype. Definitions
- b. Kwapieh's theorem
- c. Supplementary results
- d. Type and cotype and the geometry of Banach spaces
- Notes and references
- Chapter 4. The "Abstract" Version of Grothendieck's Theorem
- a. The factorization theorem
- b. An application to harmonic analysis
- Notes and references
- Chapter 5. Grothendieck's Theorem
- a. Preliminaries. Localization techniques. J^-spaces
- b. Operators on C( K )-spaces
- c. Operators on Lj-spaces
- d. Cotype 2 spaces and absolutely summing operators
- e. Best constants. Krivine's proof
- f. A proof of G.T. using harmonic analysis
- Notes and references
- Chapter 6. Banach Spaces Satisfying Grothendieck's Theorem
- a. G.T. spaces
- b. G.T. spaces of cotype 2
- c. Quotients of Ll by a reflexive subspace
- d. Bourgain's theorem on Lx/Hl
- Notes and references
- Chapter 7. Applications of the Volume Ratio Method
- Notes and references
- Chapter 8. Banach Lattices
- a. The Banach lattice version of G.T.
- b. Ultraproducts. Factorization through an L^-space
- c. Local unconditional structure. The Gordon-Lewis property
- d. Examples of Banach spaces without l.u.st.
- e. Finite-dimensional spaces with extreme l.u.st. constants
- f. G.T. spaces with unconditional basis
- g. Infinite-dimensional Kasin decompositions
- Notes and references
- Chapter 9. C *-Algebras
- a. The noncommutative version of G.T.
- b. Applications
- Notes and references
- Chapter 10. Counterexamples to Grothendieck's Conjecture
- a. Outline of the construction
- b. Extensions of a Banach space
- c. The construction
- d. Particular cases of the conjectures
- e. Some open problems
- Notes and references
- References
