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Absolutely Summing Operators

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: June 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521064934


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About the Authors
  • 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
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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

    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

  • Authors

    Joe Diestel, Kent State University, Ohio

    Hans Jarchow, Universität Zürich

    Andrew Tonge, Kent State University, Ohio

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