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math.FA2019
Uniformly convex renormings and generalized cotypes
Luis C. García-Lirola, Matías Raja
We are concerned about improvements of the modulus of convexity by renormings of a super-reflexive Banach space. Typically optimal results are beyond Pisier's power functions bound…
math.MG2019
Geometry and volume product of finite dimensional Lipschitz-free spaces
Matthew Alexander, Matthieu Fradelizi, Luis C. García-Lirola +1
The goal of this paper is to study geometric and extremal properties of the convex body , which is the unit ball of the Lipschitz-free Banach space associated wi…
math.FA2019
Examples and applications of the density of strongly norm attaining Lipschitz maps
Rafael Chiclana, Luis C. García-Lirola, Miguel Martin +1
We study the density of the set of those Lipschitz maps from a (complete pointed) metric space to a Banach space which strongly attain their norm…