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Characterizations of C* Algebras
ISBN-13:
9781351461771
Veröffentl:
2018
Seiten:
448
Autor:
Robert Doran
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
This book gives an account of two celebrated theorems of Gelfand and Naimark for commutative C*-algebras, their tangled history, generalizations and applications, in a form accessible to mathematicians working in various applied fields, and also to students of pure and applied mathematics.
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
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