Weakly almost square Lipschitz-free spaces
Functional Analysis
2023-04-24 v2
Abstract
We construct a Lipschitz-free space that is locally almost square but not weakly almost square; this is the first example of such a Banach space. We also prove a result, which indicates that geodesic metric spaces are a potential metric characterization for weakly almost square Lipschitz-free spaces. Lastly, we prove that a Lipschitz-free space can not have the symmetric strong diameter property.
Cite
@article{arxiv.2210.09158,
title = {Weakly almost square Lipschitz-free spaces},
author = {Jaan Kristjan Kaasik and Triinu Veeorg},
journal= {arXiv preprint arXiv:2210.09158},
year = {2023}
}