On dentability and cones with a large dual
Functional Analysis
2024-01-19 v1
Abstract
In this paper, we provide some equivalences on dentability in normed spaces. Among others we prove: the origin is a denting point of a pointed cone if and only if it is a point of continuity for such a cone and ; is a denting point of a convex set if and only if is a point of continuity and a weakly strongly extreme point of . We also analize how our results help us to shed some light on several open problems in the literature.
Keywords
Cite
@article{arxiv.2401.10102,
title = {On dentability and cones with a large dual},
author = {Fernando García-Castaño and M. A. Melguizo Padial},
journal= {arXiv preprint arXiv:2401.10102},
year = {2024}
}