Approximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces

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dc.creatorFry, R.
dc.date2008-10-21
dc.date2009-01-20
dc.date.accessioned2026-07-07T12:31:24Z
dc.date.available2026-07-07T12:31:24Z
dc.descriptionThe following result was announced in the earlier version(s) of this paper: On weakly compactly generated Banach spaces which admit a Lipschitz, C^{p} smooth bump function, one can uniformly approximate uniformly continuous, bounded, real-valued functions by Lipschitz, C^{p} smooth functions. Unfortunately, there is a gap in the proof which renders the proof in its present form incorrect
dc.descriptionThe author withdraws the paper as the proof of the main result announced in this note in its current form has a gap which renders it incorrect
dc.identifierhttps://arxiv.org/abs/0810.3901
dc.identifierhttp://arxiv.org/abs/0810.3901
dc.identifierJournal of Functional Analysis, Volume 252, Issue 1, 1 November 2007, Pages 34-41
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216434
dc.subjectFunctional Analysis
dc.subject46B20
dc.titleApproximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces
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