36 citations · 37 across the 3 of their papers we have counts for
5 papers · 1 filter
Linearization of holomorphic Lipschitz functions
Richard Aron, Verónica Dimant, Luis C. García-Lirola +1
Let and be complex Banach spaces with denoting the open unit ball of This paper studies various aspects of the {\em holomorphic Lipschitz space} $\mathcal HL_0(B…
On the Weak Maximizing Properties
Luis C. Garcia-Lirola, Colin Petitjean
Quite recently, a new property related to norm-attaining operators has been introduced: the weak maximizing property (WMP). In this note, we define a generalised version of it cons…
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.…
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…
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…