Buch, Englisch, 448 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 834 g
the Gelfand Naimark Theorems
Buch, Englisch, 448 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 834 g
Reihe: Chapman & Hall/CRC Pure and Applied Mathematics
ISBN: 978-0-8247-7569-8
Verlag: CRC Press
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.
Zielgruppe
Professional Practice & Development
Autoren/Hrsg.
Weitere Infos & Material
1. The Gelfand-Naimark Theorems: Historical Perspective 2. The Gelfand-Naimark Theorem for Commutative C*-Algebras 3. The Gelfand-Naimark Theorem: Arbitrary C*-Algebras 4. Banach *-Algebras: Generalities 5. *-Representations on a Hilbert Space: A Closer Look 6. Hermitian and Symmetric *-Algebras 7. A Further Weakening of the C*-Axioms 8. Geometrical Characterizations of C*-Algebras 9. Locally C*-Equivalent Algebras 10. Applications of the Characterization Theorems
