3 papers
math.FA2026
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…
math.FA2025
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…
math.FA2025
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…