4 papers
Non-uniformly continuous nearest point maps
Rubén Medina, Andrés Quilis
We construct a Banach space satisfying that the nearest point map (also called proximity mapping or metric projection) onto any compact and convex subset is continuous but not unif…
The equivalence between CPCP and strong regularity under Krein-Milman property
Ginés López-Pérez, Rubén Medina
We obtain a result in the spirit of the well-known W. Schachermeyer and H. P. Rosenthal research about the equivalence between Radon-Nikodym and Krein-Milman properties, by showing…
On isometric embeddings into the set of strongly norm-attaining Lipschitz functions
Sheldon Dantas, Rubén Medina, Andrés Quilis +1
In this paper, we provide an infinite metric space such that the set $\mbox{SNA}(M)$ of strongly norm-attaining Lipschitz functions does not contain a subspace which is isometr…
Schauder bases in Lipschitz free spaces over nets in Banach spaces
Petr Hájek, Rubén Medina
In the present note we give two explicit constructions (based on a retractional argument) of a Schauder basis for the Lipschitz free space , over certain uniformly…