Dilations and rigid factorisations on noncommutative L^p-spaces

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dc.creatorJunge, Marius
dc.creatorMerdy, Christian Le
dc.date2008-03-31
dc.date.accessioned2026-07-07T09:29:24Z
dc.date.available2026-07-07T09:29:24Z
dc.descriptionWe study some factorisation and dilation properties of completely positive maps on noncommutative L^p-spaces. We show that Akcoglu's dilation theorem for positive contractions on classical (=commutative) L^p-spaces has no reasonable analog in the noncommutative setting. Our study relies on non symmetric analogs of Pisier's operator space valued noncommutative L^p-spaces that we investigate in the first part of the paper.
dc.descriptionTo be published in Journal of Functional Analysis
dc.identifierhttps://arxiv.org/abs/0803.4410
dc.identifierhttp://arxiv.org/abs/0803.4410
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157775
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L07, 46L51, 48B28
dc.titleDilations and rigid factorisations on noncommutative L^p-spaces
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