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＜電子ブック＞
Noncommutative Stationary Processes / by Rolf Gohm
(Lecture Notes in Mathematics. ISSN:16179692 ; 1839)

版	1st ed. 2004.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2004
大きさ	VIII, 172 p : online resource
著者標目	*Gohm, Rolf author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Functional analysis LCSH:Operator theory FREE:Probability Theory FREE:Functional Analysis FREE:Operator Theory
一般注記	Preface -- Introduction -- 1. Extensions and dilations -- 2. Markov processes -- 3. Adaptedness -- 4. Examples and applications -- A. Some facts about unital completely positive maps -- References -- Index 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 HTTP:URL=https://doi.org/10.1007/b95349

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