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

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

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 INTERNATIONAL FUNCTIONAL ANALYSIS MEETING ON THE OCCASION OF THE 60TH BIRTHDAY OF PROFESSOR M VALDIVIA. OCT 22-27, 1990. PENISCOLA, SPAIN. 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 Sciences > Mathematics > Functional analysis and Operator theory 16413 18 Sep 2012 08:40 06 Nov 2013 18:30