Characterizations of C*-Algebras: The Gelfand-Naimark Theorems

The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, this comprehensive text assesses the current status of modern analysis regarding both Banach and C*-algebras. Characterizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theory and basic properties in accordance with readers' needs ... provides complete proofs of the Gelfand-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 functional analysis and Banach algebras ... and contains numerous examples and over 400 references that illustrate important concepts and encourage further research.

Characterizations of C*-Algebras: The Gelfand-Naimark Theorems is an ideal text for graduate students taking such courses as The Theory of Banach Algebras and C*-Algebras. In addition, it makes an outstanding reference for physicists, research mathematicians in analysis, and applied scientists using C*-algebras in such areas as statistical mechanics, quantum theory, and physical chemistry.