Operator spaces and Araki-Woods factors --A quantum probabilistic approach--

dc.creatorJunge, Marius
dc.date2005-04-12
dc.date2006-05-26
dc.date.accessioned2026-07-07T06:39:46Z
dc.date.available2026-07-07T06:39:46Z
dc.descriptionWe show that the operator Hilbert space OH introduced by Pisier embeds into the predual of the hyerfinite III1 factor. The main new tool is a Khintchine type inequality for the generators of the CAR algebra with respect to a quasi-free state. Our approach yields a Khintchine type inequality for the q-gaussian variables for all values q between -1 and 1. These results are closely related to recent results of Pisier and Shlyakhtenko in the free case.
dc.identifierhttps://arxiv.org/abs/math/0504255
dc.identifierhttp://arxiv.org/abs/math/0504255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101202
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L53, 47L25
dc.titleOperator spaces and Araki-Woods factors --A quantum probabilistic approach--
dc.typetext

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