González LLavona, José Luis (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
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.
|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|
|Deposited On:||18 Sep 2012 10:40|
|Last Modified:||18 Sep 2012 10:40|
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