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  3. Topological Riesz Spaces and Measure Theory
  • Cited by 160
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    • Publisher:
      Cambridge University Press
      Publication date:
      October 2011
      February 1974
      ISBN:
      9780511897207
      9780521090315
      DOI:
      https://doi.org/10.1017/CBO9780511897207
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.42kg, 284 Pages
      • Subjects:
      Mathematics, Abstract Analysis
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    Subjects:
    Mathematics, Abstract Analysis
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    Book description

    Measure Theory has played an important part in the development of functional analysis: it has been the source of many examples for functional analysis, including some which have been leading cases for major advances in the general theory, and certain results in measure theory have been applied to prove general results in analysis. Often the ordinary functional analyst finds the language and a style of measure theory a stumbling block to a full understanding of these developments. Dr Fremlin's aim in writing this book is therefore to identify those concepts in measure theory which are most relevant to functional analysis and to integrate them into functional analysis in a way consistent with that subject's structure and habits of thought. This is achieved by approaching measure theory through the properties of Riesz spaces and especially topological Riesz spaces. Thus this book gathers together material which is not readily available elsewhere in a single collection and presents it in a form accessible to the first-year graduate student, whose knowledge of measure theory need not have progressed beyond that of the ordinary lebesgue integral.

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