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| ISBN: | 9789819986682 |
|---|---|
| Formato: | ePub |
| Idioma: | Inglés |
| Editorial: | Springer Nature |
| Tema: | Matemáticas |
| Subtema: | Probabilidad y estadística procesos estocásticos |
| Año de publicación: | 2024-04-15 |
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.