Weakly Lindelof determined Banach spaces not containing $\ell^1(N)$
Functional Analysis
2016-09-06 v1
Abstract
The class of countably intersected families of sets is defined. For any such family we define a Banach space not containing . Thus we obtain counterexamples to certain questions related to the heredity problem for W.C.G. Banach spaces. Among them we give a subspace of a W.C.G. Banach space not containing and not being itself a W.C.G. space.
Cite
@article{arxiv.math/9210210,
title = {Weakly Lindelof determined Banach spaces not containing $\ell^1(N)$},
author = {Spiros A. Argyros},
journal= {arXiv preprint arXiv:math/9210210},
year = {2016}
}