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arXiv · 0903.0063

The number of weakly compact sets which generate a Banach space

Antonio Avilés
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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.

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Antonio Avilés. 2009-02-28. The number of weakly compact sets which generate a Banach space. https://arxiv.org/abs/0903.0063

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