Every sum system is divisible

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dc.creatorIzumi, Masaki
dc.date2007-08-12
dc.date.accessioned2026-07-07T08:23:20Z
dc.date.available2026-07-07T08:23:20Z
dc.descriptionWe show that every sum system is divisible. Combined with B. V. R. Bhat and R. Srinivasan's result, this shows that every product system arising from a sum system (and every generalized CCR flow) is either of type I or type III. A necessarily and sufficient condition for such a product system to be of type I is obtained.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0708.1591
dc.identifierhttp://arxiv.org/abs/0708.1591
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135957
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L55;47D03
dc.titleEvery sum system is divisible
dc.typetext

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