Separable determination of (generalized-)lushness
arXiv:1507.05709
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.
This paper has been withdrawn by the author, because it has been extended and given another title.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