Weakly Lindelof determined Banach spaces not containing $\ell^1(N)$
Abstract
The class of countably intersected families of sets is defined. For any such family we define a Banach space not containing $\ell^{1}(\NN )$. 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 $\ell^{1}(\NN )$ and not being itself a W.C.G. space.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 1992
 arXiv:
 arXiv:math/9210210
 Bibcode:
 1992math.....10210A
 Keywords:

 Mathematics  Functional Analysis;
 46E