Equivalent norms with the property $(\beta)$ of Rolewicz
Functional Analysis
2015-06-29 v1
Abstract
We extend to the non separable setting many characterizations of the Banach spaces admitting an equivalent norm with the property of Rolewicz. These characterizations involve in particular the Szlenk index and asymptotically uniformly smooth or convex norms. This allows to extend easily to the non separable case some recent results from the non linear geometry of Banach spaces.
Keywords
Cite
@article{arxiv.1506.07978,
title = {Equivalent norms with the property $(\beta)$ of Rolewicz},
author = {Stephen J. Dilworth and Denka Kutzarova and Gilles Lancien and Lovasoa N. Randrianarivony},
journal= {arXiv preprint arXiv:1506.07978},
year = {2015}
}