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math.FA2014
Extreme points and geometric aspects of compact convex sets in asymmetric normed spaces
Natalia Jonard-Pérez, Enrique A. Sánchez-Pérez
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…
math.GN2014
Compact convex sets in 2-dimensional asymmetric normed lattices
Natalia Jonard-Pérez, Enrique A. Sánchez-Pérez
We study the geometric structure of compact convex sets in 2-dimensional asymmetric normed lattices. We prove that every q-compact convex set is strongly q-compact and we give a co…