5 papers · 1 filter
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…
On holomorphic functions attaining their weighted norms
Sheldon Dantas, Rubén Medina
We study holomorphic functions attaining weighted norms and its connections with the classical theory of norm attaining holomorphic functions. We prove that there are polynomials o…
Compact Hölder retractions and nearest point maps
Rubén Medina
In this paper, two main results concerning uniformly continuous retractions are proved. First, an -Hölder retraction from any separable Banach space onto a compact convex subset…
Retractions and the bounded approximation property in Banach spaces
Petr Hájek, Rubén Medina
In the present paper we prove that a necessary condition for a Banach space to admit a generating compact Lipschitz retract , which satisfies an additional mild assumption o…
Schauder basis in Lipschitz free spaces over nets of -spaces
Petr Hájek, Rubén Medina
In the present note we give a construction (based on a retractional argument) of a Schauder basis for the Lipschitz free space , over a net in any separable inf…