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Weak topologies on bounded sets of a Banach space. Associated function spaces.

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

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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
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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