Non-expansive bijections, uniformities and polyhedral faces
Functional Analysis
2018-08-28 v1
Abstract
We extend the result of B. Cascales at al. about expand-contract plasticity of the unit ball of strictly convex Banach space to those spaces whose unit ball is the union of all its finite-dimensional polyhedral extreme subsets. We also extend the definition of expand-contract plasticity to uniform spaces and generalize the theorem on expand-contract plasticity of totally bounded metric spaces to this new setting.
Cite
@article{arxiv.1808.08534,
title = {Non-expansive bijections, uniformities and polyhedral faces},
author = {Carlos Angosto and Vladimir Kadets and Olesia Zavarzina},
journal= {arXiv preprint arXiv:1808.08534},
year = {2018}
}