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  3. Hilbert Space
  • Cited by 21
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    • Publisher:
      Cambridge University Press
      Publication date:
      05 June 2012
      08 July 1993
      ISBN:
      9781139172592
      9780521418843
      9780521429337
      DOI:
      https://doi.org/10.1017/CBO9781139172592
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.37kg, 144 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.207kg, 144 Pages
      • Subjects:
      Mathematics (general), Mathematics, Abstract Analysis
      Series:
      London Mathematical Society Student Texts (27)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Abstract Analysis
    Series:
    London Mathematical Society Student Texts (27)
    Information

    Book description

    Professor Retherford's aim in this book is to provide the reader with a virtually self-contained treatment of Hilbert space theory, leading to an elementary proof of the Lidskij trace theorem. He assumes the reader is familiar with only linear algebra and advanced calculus, and develops everything needed to introduce the ideas of compact, self-adjoint, Hilbert-Schmidt and trace class operators. Many exercises and hints are included, and throughout the emphasis is on a user-friendly approach. Advanced undergraduates and graduate students will find that this book presents a unique introduction to operators and Hilbert space.

    Reviews

    "Retherford's book...is like a tour to the top of a mountain. Every step is devoted to the final goal, the trace formula...the book is written in a style which reveals the author's enthusiasm. Thus it could be good prpaganda for functional analysis...this is a remarkable book which forces the student to understand mathematics and to be careful." A. Pietsch, Mathematical Reviews

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