Zhang, Lunchuan. <br/><br/>
Hilbert C*- Modules and Quantum Markov Semigroups  [electronic resource] / 
by Lunchuan Zhang. 
 - 1st ed. 2024. 
 - IX, 214 p. 7 illus.  online resource. 
<br/><br/>Basic Theory of Hilbert C*-modules -- Kasprove’s Stabilization and Fredholm Generalized Index Theory -- Quantum Markov Semigroups and Operator-valued Dirichlet Forms. 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9789819986682 
<br/><br/><label>Standard No.: </label>10.1007/978-981-99-8668-2  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/><br/><br/><br/><br/><br/>
<br/><br/><label>LC Class. No.: </label>QA329-329.9