4 papers
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…
A characterization of the weak topology in the unit ball of purely atomic preduals
Ginés López-Pérez, Rubén Medina
We study Banach spaces with a weak stable unit ball, that is Banach spaces where every convex combination of relatively weakly open subsets in its unit ball is again a relatively w…