Zhang, Lunchuan. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text si 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access IX, 214 p. 7 illus. online resource. 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. Basic Theory of Hilbert C*-modules -- Kasprove’s Stabilization and Fredholm Generalized Index Theory -- Quantum Markov Semigroups and Operator-valued Dirichlet Forms. by Lunchuan Zhang. Operator theory Functional analysis Markov processes Operator Theory Functional Analysis Markov Process QA329-329.9 9789819986682 https://doi.org/10.1007/978-981-99-8668-2 https://doi.org/10.1007/978-981-99-8668-2 240415 20251030111819.0 978-981-99-8668-2