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Banach Spaces for Analysts

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: April 2011
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511874543

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  • This is an introduction to modern Banach space theory, in which applications to other areas such as harmonic analysis, function theory, orthogonal series, and approximation theory are also given prominence. The author begins with a discussion of weak topologies, weak compactness, and isomorphisms of Banach spaces before proceeding to the more detailed study of particular spaces. The book is intended to be used with graduate courses in Banach space theory, so the prerequisites are a background in functional, complex, and real analysis. As the only introduction to the modern theory of Banach spaces, it will be an essential companion for professional mathematicians working in the subject, or to those interested in applying it to other areas of analysis.

    • Based on courses given in Cambridge and Warsaw
    • Accessible to non-experts in Banach space theory
    • Cheaper than all the competiton
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    Reviews & endorsements

    "This is an interesting, useful and informative work, well worth the effort required to deal with its many results." R.H. Cox, Mathematical Reviews

    "A useful well-written guide." The American Mathematical Monthly

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    Product details

    • Date Published: April 2011
    • format: Adobe eBook Reader
    • isbn: 9780511874543
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    1. Introduction
    2. Basic concepts of Banach space theory
    3. Selected topics.

  • Author

    P. Wojtaszczyk, Uniwersytet Warszawski, Poland

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