### Impacto

Llavona, José G.
(1992)
*Weak topologies on bounded sets of a Banach space. Associated function spaces.*
Progress in functional analysis, 170
.
pp. 307-318.
ISSN 0-444-89378-4

Official URL: http://www.sciencedirect.com/science/article/pii/S0304020808703281

## Abstract

This is a survey paper concerning:\par 1) relations between spaces of weakly continuous functions on Banach spaces and their weak topologies;\par 2) weakly continuous and weakly differentiable function spaces in relation with the extension of Weierstrass' theorem for infinite dimensional Banach spaces;\par 3) interpolation of bounded sequences by weakly continuous and weakly differentiable functions.

Item Type: | Article |
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Additional Information: | INTERNATIONAL FUNCTIONAL ANALYSIS MEETING ON THE OCCASION OF THE 60TH BIRTHDAY OF PROFESSOR M VALDIVIA. OCT 22-27, 1990. PENISCOLA, SPAIN. |

Uncontrolled Keywords: | Spaces of weakly continuous functions on Banach spaces; Weak topologies; Weakly continuous and weakly differentiable function spaces; Weierstrass' theorem for infinite dimensional Banach spaces; Interpolation of bounded sequences by weakly continuous and weakly differentiable functions |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 16413 |

Deposited On: | 18 Sep 2012 08:40 |

Last Modified: | 06 Nov 2013 18:30 |

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