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＜E-Book＞
Hilbert C*- Modules and Quantum Markov Semigroups / by Lunchuan Zhang

Edition	1st ed. 2024.
Publisher	(Singapore : Springer Nature Singapore : Imprint: Springer)
Year	2024
Language	English
Size	IX, 214 p. 7 illus : online resource
Authors	*Zhang, Lunchuan author SpringerLink (Online service)
Subjects	LCSH:Operator theory LCSH:Functional analysis LCSH:Markov processes FREE:Operator Theory FREE:Functional Analysis FREE:Markov Process
Notes	Basic Theory of Hilbert C*-modules -- Kasprove’s Stabilization and Fredholm Generalized Index Theory -- Quantum Markov Semigroups and Operator-valued Dirichlet Forms 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 HTTP:URL=https://doi.org/10.1007/978-981-99-8668-2

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