E_0-dilation of strongly commuting CP_0-semigroups

Simple item page
dc.creatorShalit, Orr
dc.date2007-07-12
dc.date2007-09-09
dc.date.accessioned2026-07-07T09:42:18Z
dc.date.available2026-07-07T09:42:18Z
dc.descriptionWe prove that every strongly commuting pair of CP_0-semigroups has a minimal E_0-dilation. This is achieved in two major steps, interesting in themselves: 1: we show that a strongly commuting pair of CP_0-semigroups can be represented via a two parameter product system representation; 2: we prove that every fully coisometric product system representation has a fully coisometric, isometric dilation. In particular, we obtain that every commuting pair of CP_0-semigroups on B(H), H finite dimensional, has an E_0-dilation.
dc.description45 pages; a gap in section 6 has been filled; minimality proved
dc.identifierhttps://arxiv.org/abs/0707.1760
dc.identifierhttp://arxiv.org/abs/0707.1760
dc.identifierJournal of Functional Analysis, Vol. 255/1 46-89, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162131
dc.subjectOperator Algebras
dc.subject46L55
dc.titleE_0-dilation of strongly commuting CP_0-semigroups
dc.typetext

Files

Collections

arXiv