Operator theory

Operator theory: a comprehensive course in analysis, part 4

by Simon, Barry

Type Book
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A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 4 focuses on operator theory, especially on a Hilbert space. Central t…

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Title Statements

  • Full title :Operator theory : a comprehensive course in analysis, part 4.

Summary

A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. 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. There is also an introduction to the theory of orthogonal polynomials and a long chapter on Banach algebras, including the commutative and non-commutative Gel'fand-Naimark theorems and Fourier analysis on general locally compact abelian groups.

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Edition Statements

  • Publication Date:© 2015

Publication Statements

The Physical Object

  • Description:1 Online-Ressource (xviii, 750 Seiten)

Edition Identifiers

  • ISBN:9781470427634, 147042763X
  • oclc:on1021103208
  • LC Classification:QA300.S5285 2015
  • Dewey Decimal:515.724

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