Robert Doran

Characterizations of C* Algebras

the Gelfand Naimark Theorems

• Gebundenes Buch

Produktbeschreibung

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.

---

Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: CRC Press
• Seitenzahl: 448
• Erscheinungstermin: 14. März 1986
• Englisch
• Abmessung: 240mm x 161mm x 29mm
• Gewicht: 836g
• ISBN-13: 9780824775698
• ISBN-10: 0824775694
• Artikelnr.: 22086259

Autorenporträt

Doran\, Robert

Inhaltsangabe

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