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024 7 $a10.1007/b95349
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035   $a(DE-He213)978-3-540-39902-5
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035   $a(PPN)155226762
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100   $a20121227d2004      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aNoncommutative Stationary Processes$b[electronic resource] /$fby Rolf Gohm
205   $a1st ed. 2004.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2004.
215   $a1 online resource (VIII, 172 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1839
300   $aOriginally presented as the author's habilitation (Greifswald) under the title: Elements of a spatial theory for noncommutative stationary processes with discrete time index.
311   $a3-540-20926-3 
320   $aIncludes bibliographical references (pages [165]-168) and index.
327   $aPreface -- Introduction -- 1. Extensions and dilations -- 2. Markov processes -- 3. Adaptedness -- 4. Examples and applications -- A. Some facts about unital completely positive maps -- References -- Index.
330   $aQuantum probability and the theory of operator algebras are both concerned with the study of noncommutative dynamics. Focusing on stationary processes with discrete-time parameter, this book presents (without many prerequisites) some basic problems of interest to both fields, on topics including extensions and dilations of completely positive maps, Markov property and adaptedness, endomorphisms of operator algebras and the applications arising from the interplay of these themes. Much of the material is new, but many interesting questions are accessible even to the reader equipped only with basic knowledge of quantum probability and operator algebras.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1839
606   $aProbabilities
606   $aFunctional analysis
606   $aOperator theory
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
615  0$aProbabilities.
615  0$aFunctional analysis.
615  0$aOperator theory.
615 14$aProbability Theory and Stochastic Processes.
615 24$aFunctional Analysis.
615 24$aOperator Theory.
676   $a519.232
700   $aGohm$b Rolf$4aut$4http://id.loc.gov/vocabulary/relators/aut$0282339
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466499303316
996   $aNoncommutative stationary processes$9262659
997   $aUNISA