Spaces C(K) with an equivalent URED norm
Functional Analysis
2020-05-01 v1
Abstract
We prove that a Banach space of continuous functions has a renorming that is uniformly rotund in every direction (URED) if and only if the compact space supports a strictly positive measure
Keywords
Cite
@article{arxiv.2004.14655,
title = {Spaces C(K) with an equivalent URED norm},
author = {Antonio Avilés and Stanimir Troyanski},
journal= {arXiv preprint arXiv:2004.14655},
year = {2020}
}