
A Course in Operator Theory
American Mathematical Society(Author)
American Mathematical Society (Publisher)
Published on 30. October 1999
Book
Hardback
978-0-8218-2065-0 (ISBN)
Shipment within 10-20 days
Description
Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, mathematical physics, and more. This text covers the central themes of operator theory, presented with the excellent clarity and style that readers have come to associate with Conway's writing. Early chapters introduce and review material on C*-algebras, normal operators, compact operators and non-normal operators. The topics include the spectral theorem, the functional calculus and the Fredholm index. Also, some deep connections between operator theory and analytic functions are presented.Later chapters cover more advanced topics, such as representations of C*-algebras, compact perturbations and von Neumann algebras. Major results, such as the Sz.-Nagy Dilation Theorem, the Weyl-von Neumann-Berg Theorem and the classification of von Neumann algebras, are covered, as is a treatment of Fredholm theory. These advanced topics are at the heart of current research. The last chapter gives an introduction to reflexive subspaces, i.e., subspaces of operators that are determined by their invariant subspaces. These, along with hyperreflexive spaces, are one of the more successful episodes in the modern study of asymmetric algebras. Professor Conway's authoritative treatment makes this a compelling and rigorous course text, suitable for graduate students who have had a standard course in functional analysis.
Reviews / Votes
recommended it to anyone wishing to gain a better understanding of operator theory. Bulletin of the London Mathematical SocietyMore details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Illustrations
bibliography, index
Weight
862 gr
ISBN-13
978-0-8218-2065-0 (9780821820650)
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Schweitzer Classification
Other editions
New editions

John B. Conway
A Course in Operator Theory
Book
04/2000
American Mathematical Society
€114.09
Shipment within 10-20 days
Content
Introduction to C*-algebras Normal operators Compact operators Some non-normal operators More on C*-algebras Compact perturbations Introduction to von Neumann algebras Reflexivity Bibliography Index List of symbols.