Operator theory

Author(s)

• Simon, Barry

Bibliographic Information

Operator theory

Barry Simon

（A comprehensive course in analysis, pt. 4）

American Mathematical Society, c2015

Note

Includes bibliographical references and indexes

Description and Table of Contents

Description

A Comprehensive Course in Analysis by Poincare 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.

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

by "Nielsen BookData"

• NCID: BB20372337
• ISBN:
  • 9781470411039
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: xviii, 749 p.
• Size: 27 cm
• Classification:
  • LCC : QA300
  • DC23 : 515/.724
• Subject Headings:
  • LCSH : Mathematical analysis -- Textbooks
  • LCSH : Operator theory
• Parent Bibliography ID:
  • BB20268142