3 papers
math.FA2018
On strongly norm attaining Lipschitz maps
Bernardo Cascales, Rafa Chiclana, Luis Garcia-Lirola +2
We study the set of those Lipschitz maps from a (complete pointed) metric space to a Banach space which (strongly) attain their Lipschitz norm (i.…
math.FA2017
Extremal structure and Duality of Lipschitz free spaces
Luis García-Lirola, Colin Petitjean, Antonin Procházka +1
We analyse the relationship between different extremal notions in Lipschitz free spaces (strongly exposed, exposed, preserved extreme and extreme points). We prove in particular th…
math.FA2017
On strong asymptotic uniform smoothness and convexity
Luis García-Lirola, Matías Raja
We introduce the notions of strong asymptotic uniform smoothness and convexity. We show that the injective tensor product of strongly asymptotically uniformly smooth spaces is asym…