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arXiv · 1404.0500

Extreme points and geometric aspects of compact convex sets in asymmetric normed spaces

Natalia Jonard-Pérez·Enrique A. Sánchez-Pérez
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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.

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Natalia Jonard-Pérez, Enrique A. Sánchez-Pérez. 2014-04-02. Extreme points and geometric aspects of compact convex sets in asymmetric normed spaces. https://arxiv.org/abs/1404.0500

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