The number of weakly compact sets which generate a Banach space
classification
🧮 math.FA
math.GN
keywords
numberbanachcompactgeneratespaceweaklybehaviorcardinal
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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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