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  3. Absolutely Summing Operators
  • Cited by 587
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    • Publisher:
      Cambridge University Press
      Publication date:
      October 2009
      April 1995
      ISBN:
      9780511526138
      9780521431682
      9780521064934
      DOI:
      https://doi.org/10.1017/CBO9780511526138
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.8kg, 492 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.712kg, 492 Pages
      • Subjects:
      Mathematics (general), Mathematics, Abstract Analysis
      Series:
      Cambridge Studies in Advanced Mathematics (43)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Abstract Analysis
    Series:
    Cambridge Studies in Advanced Mathematics (43)
    Information

    Book 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.

    Reviews

    "Beautifully motivated exposition!" American Mathematical Monthly

    "...a very welcome addition to a rather long list of recently published monographs concerning deep mathematics in Banach spaces from the last three decades--it is the first time that the important subject of 'summing operators' has been presented in almost complete detail in book form. Large parts of the book are within reach of graduate students, extensive 'notes and remarks' sections fill even sophisticated corners of the field with light--this book promises to be a future classic....this excellent book will have a wide audience which consists not only of interested students: there will be many mathematicians inside and outside of Banach spcae theory who will use it as a rich source for references and inspiration. Wonderful mathematics presented in striking fashion!" Andreas Defant, Mathematical Reviews

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