On the weak$^*$ separability of the space of Lipschitz functions
Functional Analysis
2025-03-14 v1
Abstract
We conjecture that whenever is a metric space of density at most continuum, then the space of Lipschitz functions is -separable. We prove the conjecture for several classes of metric spaces including all the Banach spaces with a projectional skeleton, Banach spaces with a -separable dual unit ball and locally separable complete metric spaces.
Keywords
Cite
@article{arxiv.2406.03982,
title = {On the weak$^*$ separability of the space of Lipschitz functions},
author = {Leandro Candido and Marek Cuth and Benjamin Vejnar},
journal= {arXiv preprint arXiv:2406.03982},
year = {2025}
}