The number of weakly compact sets which generate a Banach space
Functional Analysis
2009-03-03 v1 General Topology
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.
Keywords
Cite
@article{arxiv.0903.0063,
title = {The number of weakly compact sets which generate a Banach space},
author = {Antonio Avilés},
journal= {arXiv preprint arXiv:0903.0063},
year = {2009}
}