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Record Nr. |
UNINA9910847579803321 |
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Autore |
Zhang Lunchuan |
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Titolo |
Hilbert C Modules and Quantum Markov Semigroups / / by Lunchuan Zhang |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 |
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ISBN |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (222 pages) |
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Disciplina |
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Soggetti |
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Operator theory |
Functional analysis |
Markov processes |
Operator Theory |
Functional Analysis |
Markov Process |
Àlgebres de Hilbert |
Mòduls (Àlgebra) |
Processos de Markov |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Basic Theory of Hilbert C*-modules -- Kasprove’s Stabilization and Fredholm Generalized Index Theory -- Quantum Markov Semigroups and Operator-valued Dirichlet Forms. |
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Sommario/riassunto |
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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. |
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