4 papers · 1 filter
Almost preserved extreme points
Ramón J. Aliaga, Luis C. GarcÃa-Lirola, Juan Guerrero-Viu +2
In this paper we introduce the notion of an almost preserved extreme point (APEP) of a set as a weakening of the concept of preserved extreme points, and we systematically study su…
A covering index for Banach spaces
Matias Raja
We introduce a new isomorphic quantity for Banach spaces, the index , based on finite convex coverings of the unit ball. This index is closely related to the asymptotic modul…
Covering by finitely many convex sets
Matias Raja
Given a finite covering by closed convex sets of , the unit ball of an infinite-dimensional Banach space, we investigate whether there is a set of the covering that contains b…
Representation in by Lipschitz functions
Matias Raja
The isometric universality of the spaces for a non scattered Hausdorff compact does not take into account the ``quality'' of the representation. Indeed, the existence of…