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Polynomial approximation of weakly differentiable functions on banach spaces



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Gómez Gil, Javier and Llavona, José G. (1982) Polynomial approximation of weakly differentiable functions on banach spaces. Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences, 82A (2). pp. 141-150. ISSN 1902-1997

Official URL: http://www.jstor.org/stable/20489148



A characterization of dense polynomial algebras is obtained for a certain class of p-continously differentiable Fréchet functions between real Banach spaces. In order to study this result a new approximation property in Banach spaces, the bounded weak approximation property, is introduced and studied.

Item Type:Article
Uncontrolled Keywords:Derivatives; Approximation by polynomials; Geometry and structure of normed linear spaces; Spaces of vector- and operator-valued functions
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:15820
Deposited On:03 Jul 2012 11:21
Last Modified:28 Jan 2016 15:59

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