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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Bibliografski detalji
Glavni autor: Zhang, Lunchuan (Autor)
Autor kompanije: SpringerLink (Online service)
Format: Elektronički e-knjiga
Jezik:engleski
Izdano: Singapore : Springer Nature Singapore : Imprint: Springer, 2024.
Izdanje:1st ed. 2024.
Teme:
Online pristup:https://doi.org/10.1007/978-981-99-8668-2
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505 0 |a Basic Theory of Hilbert C*-modules -- Kasprove’s Stabilization and Fredholm Generalized Index Theory -- Quantum Markov Semigroups and Operator-valued Dirichlet Forms. 
520 |a 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. 
650 0 |a Operator theory. 
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650 0 |a Markov processes. 
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