Hilbert C*- Modules and Quantum Markov Semigroups

This book explains the basic theory of Hilbert C*-module in detail, covering a wide range of applications from generalized index to module framework. At the center of the book, the Beurling-Deny criterion is characterized between operator valued Dirichlet forms and quantum Markov semigroups, hence o...

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Bibliographische Detailangaben
1. Verfasser: Zhang, Lunchuan (VerfasserIn)
Körperschaft: SpringerLink (Online service)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Singapore : Springer Nature Singapore : Imprint: Springer, 2024.
Ausgabe:1st ed. 2024.
Schlagworte:
Online-Zugang:https://doi.org/10.1007/978-981-99-8668-2
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Beschreibung
Zusammenfassung:This book explains the basic theory of Hilbert C*-module in detail, covering a wide range of applications from generalized index to module framework. At the center of the book, the Beurling-Deny criterion is characterized between operator valued Dirichlet forms and quantum Markov semigroups, hence opening a new field of quantum probability research. The general scope of the book includes: basic theory of Hilbert C*-modules; generalized indices and module frames; operator valued Dirichlet forms; and quantum Markov semigroups. This book will be of value to scholars and graduate students in the fields of operator algebra, quantum probability and quantum information.
Beschreibung:IX, 214 p. 7 illus. online resource.
ISBN:9789819986682
DOI:10.1007/978-981-99-8668-2