Separable determination of (generalized-)lushness
Functional Analysis
2016-08-15 v3
Abstract
We prove that every Asplund lush space is generalized-lush using the method of separable reduction. This gives a partial positive answer to a question by Jan-David Hardtke.
Cite
@article{arxiv.1507.05709,
title = {Separable determination of (generalized-)lushness},
author = {Marek Cuth},
journal= {arXiv preprint arXiv:1507.05709},
year = {2016}
}
Comments
This paper has been withdrawn by the author, because it has been extended and given another title. The results from the preprint "Separable determination of (generalized-)lushness" are contained in Section 3 of a new preprint "Separable determination in Banach spaces" available on arxiv