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

2014/04/02 by Natalia Jonard-Pérez, Jonard-Pérez, Natalia, Enrique A. Sánchez-Pérez +1
Mathematics · #46A50 #46A55 #46B50 #52A07 #52A20 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46A50 #msc:46A55 #msc:46B50 #msc:52A07 #msc:52A20

paper · pdf · doi:10.48550/arxiv.1404.0500

arxiv created 2014/04/02 · arxiv updated 2014/04/03

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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