Description

Book Synopsis
A Comprehensive Course in Analysis by Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information. Part 4 focuses on operator theory, especially on a Hilbert space. Central topics are the spectral theorem, the theory of trace class and Fredholm determinants, and the study of unbounded self-adjoint operators.

Table of Contents
  • Preliminaries
  • Operator basics
  • Compact operators, mainly on a Hilbert space
  • Orthogonal polynomials
  • The spectral theorem
  • Banach algebras
  • Bonus chapter: Unbounded self-adjoint operators
  • Bibliography
  • Symbol index
  • Subject index
  • Author index
  • Index of capsule biographies

Operator Theory A Comprehensive Course in

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    A Hardback by Barry Simon

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      View other formats and editions of Operator Theory A Comprehensive Course in by Barry Simon

      Publisher: MP-AMM American Mathematical
      Publication Date: 11/30/2015 12:00:00 AM
      ISBN13: 9781470411039, 978-1470411039
      ISBN10: 1470411032

      Description

      Book Synopsis
      A Comprehensive Course in Analysis by Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information. Part 4 focuses on operator theory, especially on a Hilbert space. Central topics are the spectral theorem, the theory of trace class and Fredholm determinants, and the study of unbounded self-adjoint operators.

      Table of Contents
      • Preliminaries
      • Operator basics
      • Compact operators, mainly on a Hilbert space
      • Orthogonal polynomials
      • The spectral theorem
      • Banach algebras
      • Bonus chapter: Unbounded self-adjoint operators
      • Bibliography
      • Symbol index
      • Subject index
      • Author index
      • Index of capsule biographies

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