Ball separation characterization of ball dentability and related properties
Functional Analysis
2025-11-12 v4
Abstract
In Euclidean spaces, every closed, bounded, convex set can be characterized by two equivalent notions of separation properties. This is not true in general for arbitrary Banach spaces. In this work, we present a ball separation characterization for spaces where the unit ball is dentable. We also explore related properties.
Cite
@article{arxiv.2307.03621,
title = {Ball separation characterization of ball dentability and related properties},
author = {Sudeshna Basu and Susmita Seal},
journal= {arXiv preprint arXiv:2307.03621},
year = {2025}
}