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  3. Banach Spaces for Analysts
  • Cited by 272
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    • Publisher:
      Cambridge University Press
      Publication date:
      03 May 2010
      14 February 1991
      ISBN:
      9780511608735
      9780521566759
      DOI:
      https://doi.org/10.1017/CBO9780511608735
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.557kg, 400 Pages
      • Subjects:
      Mathematics (general), Mathematics, Abstract Analysis
      Series:
      Cambridge Studies in Advanced Mathematics (25)
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    Subjects:
    Mathematics (general), Mathematics, Abstract Analysis
    Series:
    Cambridge Studies in Advanced Mathematics (25)
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    Book description

    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 it will be an essential companion for professional mathematicians working in the subject, or interested in applying it to other areas of analysis.

    Reviews

    ‘… a detailed and self-contained discussion.’

    Source: L’Enseignement Mathématique

    ‘… a very welcome addition to the literature on Banach spaces.’

    Source: Bulletin of the LMS

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