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Absolutely Summing Operators

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Absolutely Summing Operators

Absolutely Summing Operators

Joe Diestel, Kent State University, Ohio
Hans Jarchow, Universität Zürich
Andrew Tonge, Kent State University, Ohio
February 2011
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Adobe eBook Reader
9780511833700
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    Description

    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.

    • Authors are well known in this area
    • Book was developed from a graduate course and could be used as a text

    Product details

    February 2011
    Adobe eBook Reader
    9780511833700
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    Contents

    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.
      • Show more
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    Additional Information
    About the authors
      Authors
    • Joe Diestel , Kent State University, Ohio
    • Hans Jarchow , Universität Zürich
    • Andrew Tonge , Kent State University, Ohio

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