[Banach] Abstract of a paper by Antonio Aviles

This is an announcement for the paper "The number of weakly compact sets which generate a Banach space" by Antonio Aviles.

Abstract: We consider the cardinal invariant CG(X) of the minimal number of weakly compact subsets which generate a Banach space X. We study the behavior of this index when passing to subspaces, its relation with the Lindelof number in the weak topology and other related questions.

Archive classification: math.FA math.GN

Citation: Israel J. Math. 159, 189-204 (2007)

The source file(s), CGX.tex: 47171 bytes, is(are) stored in gzipped form as 0903.0063.gz with size 15kb. The corresponding postcript file has gzipped size 94kb.

Submitted from: avileslo@um.es

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