Absolutely Summing Operators
£64.99
Part of Cambridge Studies in Advanced Mathematics
- Authors:
- Joe Diestel, Kent State University, Ohio
- Hans Jarchow, Universität Zürich
- Andrew Tonge, Kent State University, Ohio
- Date Published: June 2008
- availability: Available
- format: Paperback
- isbn: 9780521064934
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Many fundamental processes in analysis are best understood by studying and comparing the summability of series in various modes of convergence. This text provides the beginning graduate student, one with basic knowledge of real and functional analysis, with an account of p-summing and related operators. The account is panoramic, with detailed expositions of the core results and highly non-trivial applications to, for example, harmonic analysis, probability and measure theory, and operator theory. Graduate students and researchers from real, complex and functional analysis, and probability theory will benefit from this account.
Read more- Authors are well known in this area
- Book was developed from a graduate course and could be used as a text
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×Product details
- Date Published: June 2008
- format: Paperback
- isbn: 9780521064934
- length: 492 pages
- dimensions: 229 x 152 x 27 mm
- weight: 0.712kg
- availability: Available
Table of Contents
Introduction
1. Unconditioned and absolute summability in Banach spaces
2. Fundamentals of p-summing operators
3. Summing operators on Cp-spaces
4. Operators on Hilbert spaces and summing operators
5. p-Integral operators
6. Trace duality
7. 2-Factorable operators
8. Ultraproducts and local reflexivity
9. p-Factorable operators
10. (q, p)-Summing operators
11. Type and cotype: the basics
12. Randomised series and almost summing operators
13. K-Convexity and B-convexity
14. Spaces with finite cotype
15. Weakly compact operators on C(K)-spaces
16. Type and cotype in Banach lattices
17. Local unconditionality
18. Summing algebras
19. Dvoretzky's theorem and factorization of operators
References
Indexes.
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