Details

Hilbert C*- Modules and Quantum Markov Semigroups

von: Lunchuan Zhang
117,69 €
Verlag:	Springer
Format:	PDF
Veröffentl.:	15.04.2024
ISBN/EAN:	9789819986682
Sprache:	englisch

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Beschreibungen

Titelbeschreibung

<div><div><div>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.</div><div><br></div><div>This book will be of value to scholars and graduate students in the fields of operator algebra, quantum probability and quantum information.</div></div><div><br></div></div>

Inhaltsverzeichnis

<p>Basic Theory of Hilbert C*-modules.- Kasprove’s Stabilization and Fredholm Generalized Index Theory.- Quantum Markov Semigroups and Operator-valued Dirichlet Forms.</p>

Autorenportrait

<div>Prof. Lunchuan Zhang received B.S. from Binzhou University in 1983, M.S. from Qufu Normal University in 1994, and Ph.D. from Nanjing University in 1997. He was a post-doctor in Beijing Normal University from 1997 to 1999 and Academy of Mathematics and Systems Science, Chinese Academy of Sciences, from 1999 to 2000. He has joined Renmin University of China since 2000, where he is a Professor at the School of Mathematics currently. His areas of research are quantum probability and quantum stochastic processes.<br></div>

Back cover copy

<div><div><div><div>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.</div><div><br></div><div>This book will be of value to scholars and graduate students in the fields of operator algebra, quantum probability and quantum information.</div></div></div></div>

Sonderbeitrag

Provides detailed explanation of the basic theory of Hilbert C*-Module Includes wide-ranging applications, from generalized index to module framework Characterizes the Beurling-Deny criterion between operator valued Dirichlet forms and quantum Markov semigroups