Noncommutative stationary processes /
Quantum probability and the theory of operator algebras are both concerned with the study of noncommutative dynamics. Focusing on stationary processes with discrete-time parameter, this book presents (without many prerequisites) some basic problems of interest to both fields, on topics including ext...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; Hong Kong :
Springer-Verlag,
[2004]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1839. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | Quantum probability and the theory of operator algebras are both concerned with the study of noncommutative dynamics. Focusing on stationary processes with discrete-time parameter, this book presents (without many prerequisites) some basic problems of interest to both fields, on topics including extensions and dilations of completely positive maps, Markov property and adaptedness, endomorphisms of operator algebras and the applications arising from the interplay of these themes. Much of the material is new, but many interesting questions are accessible even to the reader equipped only with basic knowledge of quantum probability and operator algebras. |
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| Item Description: | "The text is a revised version of a manuscript entitled 'Elements of a spatial theory for noncommutative stationary processes with discrete time index', which has been written by the author as a habilitation thesis (Greifs-Wald, 2002)."--Preface. Electronic resource. |
| Physical Description: | 1 online resource (viii, 170 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783540399025 (electronic bk.) 354039902X (electronic bk.) |
| ISSN: | 0075-8434 ; |