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math.FA2025
On Weak Compactness and Uniform Regularity in Lipschitz free Spaces
Ramón J. Aliaga, Colin Petitjean, Antonín Prochazka +1
We analyze the properties of weakly compact sets in Lipschitz free spaces. Prior research has established that, for a complete metric space , weakly precompact sets in the Lipsc…
math.FA2025
Almost preserved extreme points
Ramón J. Aliaga, Luis C. García-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
Lipschitz spaces over non-porous sets
Ramón J. Aliaga
Let be a subset of . If is not porous, in particular if it has positive -dimensional Lebesgue measure, we prove that the Lipschitz spaces $\mathrm{Lip}_0(M…