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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0903.0063 or http://arXiv.org/abs/0903.0063 or by email in unzipped form by transmitting an empty message with subject line uget 0903.0063 or in gzipped form by using subject line get 0903.0063 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu