Completions of normed algebras of differentiable functions

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dc.creatorBland, W. J.
dc.creatorFeinstein, J. F.
dc.date2003-10-13
dc.date.accessioned2026-07-07T05:01:51Z
dc.date.available2026-07-07T05:01:51Z
dc.descriptionIn this paper we look at normed spaces of differentiable functions on compact plane sets, including the spaces of infinitely differentiable functions originally considered by Dales and Davie. For many compact plane sets the classical definitions give rise to incomplete spaces. We introduce an alternative definition of differentiability which allows us to describe the completions of these spaces. We also consider some associated problems of polynomial and rational approximation.
dc.description18 pages LaTeX, one figure
dc.identifierhttps://arxiv.org/abs/math/0310181
dc.identifierhttp://arxiv.org/abs/math/0310181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68831
dc.subjectFunctional Analysis
dc.subject46J15; 46E10
dc.titleCompletions of normed algebras of differentiable functions
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