Quantum Markov Semigroups (Product Systems and Subordination)

dc.creatorMuhly, Paul S.
dc.creatorSolel, Baruch
dc.date2005-10-30
dc.date2006-07-04
dc.date.accessioned2026-07-07T06:48:07Z
dc.date.available2026-07-07T06:48:07Z
dc.descriptionWe show that if a product system comes from a quantum Markov semigroup, then it carries a natural Borel structure with respect to which the semigroup may be realized in terms of a measurable representation. We show, too, that the dual product system of a Borel product system also carries a natural Borel structure. We apply our analysis to study the order interval consisting of all quantum Markov semigroups that are subordinate to a given one.
dc.descriptionRevised according to the referee's comments and suggestions; to appear in International Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0510653
dc.identifierhttp://arxiv.org/abs/math/0510653
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103878
dc.subjectOperator Algebras
dc.subject46L55, 46L53, 46L57, 46L60, 81S25, 47L90
dc.titleQuantum Markov Semigroups (Product Systems and Subordination)
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