A submetric characterization of Rolewicz's property ($\beta$)
Functional Analysis
2021-02-02 v4
Abstract
The main result is a submetric characterization of the class of Banach spaces admitting an equivalent norm with Rolewicz's property (). As applications we prove that up to renorming, property () is stable under coarse Lipschitz embeddings and coarse quotients.
Keywords
Cite
@article{arxiv.2101.08707,
title = {A submetric characterization of Rolewicz's property ($\beta$)},
author = {Sheng Zhang},
journal= {arXiv preprint arXiv:2101.08707},
year = {2021}
}
Comments
Theorem 3.1 improved