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

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Publication Date
1992
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Elsevier
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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.
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INTERNATIONAL FUNCTIONAL ANALYSIS MEETING ON THE OCCASION OF THE 60TH BIRTHDAY OF PROFESSOR M VALDIVIA. OCT 22-27, 1990. PENISCOLA, SPAIN.
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