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Polynomial approximation of weakly differentiable functions on banach spaces

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

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Abstract

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:06 Nov 2013 15:18

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