Extreme points and geometric aspects of compact convex sets in asymmetric normed spaces
Functional Analysis
2014-04-03 v1
Abstract
Inspired in the theorem of Krein-Milamn, we investigate the existence of extreme points in compact convex subsets of asymmetric normed spaces. We focus our attention in the finite dimensional case, giving a geometric description of all compact convex subsets of a finite dimensional asymmetric normed space.
Keywords
Cite
@article{arxiv.1404.0500,
title = {Extreme points and geometric aspects of compact convex sets in asymmetric normed spaces},
author = {Natalia Jonard-Pérez and Enrique A. Sánchez-Pérez},
journal= {arXiv preprint arXiv:1404.0500},
year = {2014}
}