6 papers
On norm-attainment in (symmetric) tensor products
Sheldon Dantas, Luis C. García-Lirola, Mingu Jung +1
In this paper, we introduce a concept of norm-attainment in the projective symmetric tensor product of a Banach space , which turns out to be natur…
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…
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…
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…
Pełczyński space is isomorphic to the Lipschitz free space over a compact set
Luis C. García-Lirola, Antonin Prochazka
We prove the result stated in the title. This provides a first example of an infinite-dimensional Banach space whose Lipschitz free space is isomorphic to the free space of a compa…
Unconditional almost squareness and applications to spaces of Lipschitz functions
Luis García-Lirola, Abraham Rueda Zoca
We introduce an unconditional concept of almost squareness in order to provide a partial negative answer to the problem of existence of any dual almost square Banach space. We also…