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

## 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 |
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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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