Hilbert C*- Modules and Quantum Markov Semigroups [electronic resource] /
Zhang, Lunchuan.
Hilbert C*- Modules and Quantum Markov Semigroups [electronic resource] / by Lunchuan Zhang. - 1st ed. 2024. - IX, 214 p. 7 illus. online resource.
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.
9789819986682
10.1007/978-981-99-8668-2 doi
QA329-329.9
Hilbert C*- Modules and Quantum Markov Semigroups [electronic resource] / by Lunchuan Zhang. - 1st ed. 2024. - IX, 214 p. 7 illus. online resource.
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.
9789819986682
10.1007/978-981-99-8668-2 doi
QA329-329.9