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Free Calculus on Operator Algebras: Operator Algebraic Calculus Induced by Certain Operators - Softcover
Inhaltsangabe
In this monograph, we consider free calculus on operator algebras. In Part 1, we consider structure theorems for a C*-algebra generated by a finite family F of partial isometries on a Hilbert space. We show that, whenever such a family is given, there always exists the corresponding graph G of F. Moreover, the graph groupoid of G shows how this family F works on H. We realize that C*-algebra C*(F), generated by F is *-isomorphic to the groupoid C*-algebra generated by the graph groupoid of G, under suitable (embedding) representations. In Part 2, we determine free calculus on C*(F). Free calculus consists of the differentiation, and the integration, like the usual calculus. The fundamental properties of them are studied. Also, we investigate free calculus on arbitrary C*-algebras. In Part 3, we extend the free calculus in the sense of Part 2 to that on groupoid C*-dynamical systems.
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In this monograph, we consider free calculus on operator algebras. In Part 1, we consider structure theorems for a C*-algebra generated by a finite family F of partial isometries on a Hilbert space. We show that, whenever such a family is given, there always exists the corresponding graph G of F. Moreover, the graph groupoid of G shows how this family F works on H. We realize that C*-algebra C*(F), generated by F is *-isomorphic to the groupoid C*-algebra generated by the graph groupoid of G, under suitable (embedding) representations. In Part 2, we determine free calculus on C*(F). Free calculus consists of the differentiation, and the integration, like the usual calculus. The fundamental properties of them are studied. Also, we investigate free calculus on arbitrary C*-algebras. In Part 3, we extend the free calculus in the sense of Part 2 to that on groupoid C*-dynamical systems.
Biografía del autor
Master Degree (Math): Sungkyunkwan Univ., and Univ. of Iowa / PhD (Math): Univ. of Iowa / Current Position: Assistant Professor, St. Ambrose Univ., Dep. of Mathematics.
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Free Calculus on Operator Algebras
Verlag:
LAP LAMBERT Academic Publishing Sep 2010, 2010
ISBN 10: 3838325192
ISBN 13: 9783838325194
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Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
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Taschenbuch. Zustand: Neu. Neuware -In this monograph, we consider free calculus on operator algebras. In Part 1, we consider structure theorems for a C\*-algebra generated by a finite family F of partial isometries on a Hilbert space. We show that, whenever such a family is given, there always exists the corresponding graph G of F. Moreover, the graph groupoid of G shows how this family F works on H. We realize that C\*-algebra C\*(F), generated by F is \*-isomorphic to the groupoid C\*-algebra generated by the graph groupoid of G, under suitable (embedding) representations. In Part 2, we determine free calculus on C\*(F). Free calculus consists of the differentiation, and the integration, like the usual calculus. The fundamental properties of them are studied. Also, we investigate free calculus on arbitrary C\*-algebras. In Part 3, we extend the free calculus in the sense of Part 2 to that on groupoid C\*-dynamical systems.Books on Demand GmbH, Überseering 33, 22297 Hamburg 92 pp. Englisch. Artikel-Nr. 9783838325194
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Free Calculus on Operator Algebras: Operator Algebraic Calculus Induced by Certain Operators
Verlag:
LAP Lambert Academic Publishing, 2009
ISBN 10: 3838325192
ISBN 13: 9783838325194
Neu
Paperback
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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Paperback. Zustand: Brand New. 92 pages. 8.66x5.91x0.21 inches. In Stock. Artikel-Nr. 3838325192
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