A note on convex renorming and fragmentability

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dc.creatorMirmostafaee, A K
dc.date2005-08-17
dc.date.accessioned2026-07-07T05:22:25Z
dc.date.available2026-07-07T05:22:25Z
dc.descriptionUsing the game approach to fragmentability, we give new and simpler proofs of the following known results: (a) If the Banach space admits an equivalent Kadec norm, then its weak topology is fragmented by a metric which is stronger than the norm topology. (b) If the Banach space admits an equivalent rotund norm, then its weak topology is fragmented by a metric. (c) If the Banach space is weakly locally uniformly rotund, then its weak topology is fragmented by a metric which is stronger than the norm topology.
dc.description7 pages, no figures, no tables
dc.identifierhttps://arxiv.org/abs/math/0508311
dc.identifierhttp://arxiv.org/abs/math/0508311
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 2, May 2005, pp. 201-207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76055
dc.subjectFunctional Analysis
dc.subject46B20, 54E99, 54H05
dc.titleA note on convex renorming and fragmentability
dc.typetext

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