The number of weakly compact sets which generate a Banach space

Details The number of weakly compact sets which generate a Banach space The number of weakly compact sets which generate a Banach space

2009-02-28

arxiv.org/abs/0903.0063v1

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

Mathematics

Functional Analysis

Scientific paper

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.

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