Integral mappings and the principle of local reflexivity for noncommutative L^1-spaces

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dc.creatorEffros, Edward G.
dc.creatorJunge, Marius
dc.creatorRuan, Zhong-Jin
dc.date2000-08-03
dc.date.accessioned2026-07-07T04:36:39Z
dc.date.available2026-07-07T04:36:39Z
dc.descriptionThe operator space analogue of the {\em strong form} of the principle of local reflexivity is shown to hold for any von Neumann algebra predual, and thus for any $C^{*}$-algebraic dual. This is in striking contrast to the situation for $C^{*}$-algebras, since, for example, $K(H)$ does not have that property. The proof uses the Kaplansky density theorem together with a careful analysis of two notions of integrality for mappings of operator spaces.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/math/0008032
dc.identifierhttp://arxiv.org/abs/math/0008032
dc.identifierAnn. of Math. (2) 151 (2000), no. 1, 59--92
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59675
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject47D15; 46B07; 46B08
dc.titleIntegral mappings and the principle of local reflexivity for noncommutative L^1-spaces
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