7 citations · 15 across the 16 of their papers we have counts for
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The Ball-Covering Property in Lipschitz-Free Spaces
Ramón J. Aliaga, Colin Petitjean, Antonín Procházka +1
We study ball-covering properties in Lipschitz-free spaces. We establish an extension criterion for proving that fails the ball-covering property and apply it to se…
Lipschitz-free spaces are strongly unique preduals
Ramón J. Aliaga, Marek Cúth, Felipe Vico
We prove that the Lipschitz-free space is the strongly unique isometric predual of for every metric space , solving a longstanding open prob…
The unique predual problem for Lipschitz spaces, revisited
Ramón J. Aliaga, Felipe Vico
In his 2018 paper ``On the unique predual problem for Lipschitz spaces'', N. Weaver published proofs that Banach spaces of Lipschitz functions on a complete met…
Lipschitz-free spaces over non-porous subsets of
Ramón J. Aliaga
We prove that the Lipschitz-free space contains a complemented copy of whenever is not porous. Consequently, if…
Lipschitz-free spaces and purely 1-unrectifiable metric spaces
Ramón J. Aliaga
The Lipschitz-free space is a canonical linearization of a complete metric space whose topological dual is the space of Lipschitz functions on . We review t…
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 extension and Lipschitz-free spaces over nets in normed spaces
Ramón J. Aliaga, Rubén Medina
We consider subsets of a metric space such that Lipschitz mappings defined on can be extended to Lipschitz mappings on , and we show that the union of such subsets h…