A universal reflexive space for the class of uniformly convex Banach spaces

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dc.creatorOdell, E.
dc.creatorSchlumprecht, Th.
dc.date2005-07-25
dc.date2007-01-03
dc.date.accessioned2026-07-07T08:07:06Z
dc.date.available2026-07-07T08:07:06Z
dc.descriptionWe show that there exists a separable reflexive Banach space into which every separable uniformly convex Banach space isomorphically embeds. This solves a problem of J. Bourgain. We also give intrinsic characterizations of separable reflexive Banach spaces which embed into a reflexive space with a block $q$-Hilbertian and/or a block $p$-Besselian finite dimensional decomposition.
dc.descriptionv.2 (3 January 2007) 13 pages, amslatex
dc.identifierhttps://arxiv.org/abs/math/0507509
dc.identifierhttp://arxiv.org/abs/math/0507509
dc.identifierMath. Ann. 335 (2006), no. 4, 901--916
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130830
dc.subjectFunctional Analysis
dc.subject46B03; secondary 46B20
dc.titleA universal reflexive space for the class of uniformly convex Banach spaces
dc.typetext

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