Topics in Banach space theory

Topics in Banach space theory / Fernando Albiac, Nigel J. Kalton.

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Bibliographic Details
Main Authors:	Albiac, Fernando (Author), Kalton, Nigel J. (Nigel John), 1946- (Author)
Format:	Book
Language:	English
Published:	Switzerland : Springer, [2016]
Edition:	Second edition.
Series:	Graduate texts in mathematics ; 233.
Subjects:	Banach spaces.

Table of Contents:

1. Bases and Basic Sequences
2. The Classical Sequence Spaces
3. Special Types of Bases
4. Banach Spaces of Continuous Functions
5. L_{1}( mu )-Spaces and mathcal C(K)-Spaces
6. The Spaces L_{p} for 1 le p< infty
7. Factorization Theory
8. Absolutely Summing Operators
9. Perfectly Homogeneous Bases and Their Applications
10. Greedy-type Bases
11. ell _p-Subspaces of Banach Spaces
12. Finite Representability of ell _p-Spaces
13. An Introduction to Local Theory
14. Nonlinear Geometry of Banach Spaces
15. Important Examples of Banach Spaces
Appendix A Normed Spaces and Operators
Appendix B Elementary Hilbert Space Theory
Appendix C Duality in L_{p}( mu ): H "older's inequality related results
Appendix D Main Features of Finite-Dimensional Spaces
Appendix E Cornerstone Theorems of Functional Analysis
Appendix F Convex Sets and Extreme Points
Appendix G The Weak Topologies
Appendix H Weak Compactness of Sets and Operators
Appendix I Basic probability in use
Appendix J Generalities on Ultraproducts
Appendix K The Bochner Integral abridged
List of Symbols
References
Index.