Independence and Product Systems

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dc.creatorSkeide, Michael
dc.date2003-08-26
dc.date.accessioned2026-07-07T06:30:06Z
dc.date.available2026-07-07T06:30:06Z
dc.descriptionStarting from elementary considerations about independence and Markov processes in classical probability we arrive at the new concept of conditional monotone independence (or operator-valued monotone independence). With the help of product systems of Hilbert modules we show that monotone conditional independence arises naturally in dilation theory.
dc.descriptionTo appear in Proceedings of the ``First Sino-German Meeting on Stochastic Analysis'', Beijing, 2002
dc.identifierhttps://arxiv.org/abs/math/0308245
dc.identifierhttp://arxiv.org/abs/math/0308245
dc.identifierIn S. Albeverio, Z.-M. Ma, and M. Röckner, editors, Recent developments in stochastic analysis and related topics. World Scientific, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98261
dc.subjectOperator Algebras
dc.subjectProbability
dc.subject60J25; 46L55; 46L53; 60A05
dc.titleIndependence and Product Systems
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