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math.FA2009
The number of weakly compact sets which generate a Banach space
Antonio Avilés
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 subspa…
math.FA2008
Slicely Countably Determined Banach spaces
Antonio Aviles, Vladimir Kadets, Miguel Martin +2
We introduce the class of slicely countably determined Banach spaces which contains in particular all spaces with the RNP and all spaces without copies of . We present many…