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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.FA2014
Equivariant absolute extensor property on hyperspaces of convex sets
Natalia Jonard-Pérez
Let G be a compact group acting on a Banach space L by means of linear isometries. The action of G on L induces a natural continuous action on cc(L), the hyperspace of all compact…