Locally uniformly convex norms in Banach spaces and their duals

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dc.creatorHaydon, Richard
dc.date2006-10-12
dc.date2006-10-14
dc.date.accessioned2026-07-07T07:29:02Z
dc.date.available2026-07-07T07:29:02Z
dc.descriptionIt is shown that a Banach space with locally uniformly convex dual admits an equivalent norm which is itself locally uniformly convex. It follows that on any such space all continuous real-valued functions may be uniformly approximated by C^1 functions.
dc.descriptionThe abstract has now been corrected
dc.identifierhttps://arxiv.org/abs/math/0610420
dc.identifierhttp://arxiv.org/abs/math/0610420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117951
dc.subjectFunctional Analysis
dc.subjectGeneral Topology
dc.subject46B20
dc.titleLocally uniformly convex norms in Banach spaces and their duals
dc.typetext

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