4 papers
Integral representations of projective norm-attaining tensors
Ramón J. Aliaga, Sheldon Dantas, Juan Guerrero-Viu +2
We introduce a Bochner integral approach to projective norm attainment in tensor products of Banach spaces by defining the class of integral projective norm-attaining tensors. This…
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…
A solution to the extreme point problem and other applications of Choquet theory to Lipschitz-free spaces
Ramón J. Aliaga, Eva Pernecká, Richard J. Smith
We prove that every element of a Lipschitz-free space admits an expression as a convex series of elements with compact support. As a consequence, we conclude that all extreme point…
Pełczyński's property (V) in Lipschitz-free spaces
Ramón J. Aliaga, Eva Pernecká, Alicia Quero
We prove that Pelczyński's property (V) is locally determined for Lipschitz-free spaces, and obtain several sufficient conditions for it to hold. We deduce that $\mathcal{F}(M)…