Optimization and Control Theory Department: 2007-02-27 Seminar

Ryszard Urbański and Jerzy Grzybowski
Extreme points of the unit ball in the Minkowski-Rådström-Hörmander Space

During the lecture we will prove that the unit ball in the Minkowski-Rådström-Hörmander Space $\tilde{X}$ over any normed vector space $X$ , $dim \geq 2$ , has exactly two extreme points. This result is an effect of the characterization of extreme points of any symmetric interval in the Minkowski-Rådström-Hörmander vector lattice $\tilde{X}$ over any Hausdorff topological vector space $X$ .