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  3. An Indefinite Excursion in Operator Theory
  • Cited by 1
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    • Publisher:
      Cambridge University Press
      Publication date:
      08 July 2022
      28 July 2022
      ISBN:
      9781108979061
      9781108969031
      DOI:
      https://doi.org/10.1017/9781108979061
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.74kg, 510 Pages
      • Subjects:
      Mathematics (general), Mathematics, Abstract Analysis
      Series:
      London Mathematical Society Lecture Note Series (476)
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    Subjects:
    Mathematics (general), Mathematics, Abstract Analysis
    Series:
    London Mathematical Society Lecture Note Series (476)
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    Book description

    This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.

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