Characterizations of C* Algebras the Gelfand Naimark Theorems

Description

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. | Characterizations of C* Algebras the Gelfand Naimark Theorems