02616nam a22005175i 4500 978-981-99-8668-2 DE-He213 20251030111819.0 cr nn 008mamaa 240415s2024 si | s |||| 0|eng d 9789819986682 978-981-99-8668-2 10.1007/978-981-99-8668-2 doi QA329-329.9 PBKF bicssc MAT037000 bisacsh PBKF thema Zhang, Lunchuan. author. aut http://id.loc.gov/vocabulary/relators/aut 75207 Hilbert C*- Modules and Quantum Markov Semigroups [electronic resource] / by Lunchuan Zhang. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. IX, 214 p. 7 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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. Operator theory. Functional analysis. Markov processes. 70324 Operator Theory. Functional Analysis. Markov Process. 70326 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819986675 Printed edition: 9789819986699 Printed edition: 9789819986705 https://doi.org/10.1007/978-981-99-8668-2 ZDB-2-SMA ZDB-2-SXMS 59141 59141