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Characterizations of C* Algebras: The Gelfand Naimark Theorems

Characterizations of C* Algebras: The Gelfand Naimark Theorems

Paperback

Series: Chapman & Hall/CRC Pure and Applied Mathematics

AlgebraGeneral Mathematics

ISBN10: 0367451638
ISBN13: 9780367451639
Publisher: CRC Press
Published: Dec 2 2019
Pages: 448
Weight: 1.31
Height: 0.91 Width: 6.00 Depth: 9.00
Language: English
The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*-algebras.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance with readers' needs ... provides complete proofs of theGelfand-Naimark theorems as well as refinements and extensions of the original axioms. . . gives applications of the theorems to topology, harmonic analysis. operator theory.group representations, and other topics ... treats Hermitian and symmetric *-algebras.algebras with and without identity, and algebras with arbitrary (possibly discontinuous)involutions . . . includes some 300 end-of-chapter exercises . . . offers appendices on functionalanalysis and Banach algebras ... and contains numerous examples and over 400 referencesthat illustrate important concepts and encourage further research.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems is an ideal text for graduatestudents taking such courses as The Theory of Banach Algebras and C*-Algebras: inaddition, it makes an outstanding reference for physicists, research mathematicians in analysis, and applied scientists using C*-algebras in such areas as statistical mechanics, quantumtheory. and physical chemistry.

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