3 papers
math.FA2020
Normal and starlike tilings in separable Banach spaces
Robert Deville, Mar Jimenez-Sevilla
In this note, we provide a starlike and normal tiling in any separable Banach space. That means, there are positive constants r and R (not depending on the separable Banach space)…
math.FA2020
Normal tilings of a Banach space and its ball
Robert Deville, Miguel García-Bravo
We show some new results about tilings in Banach spaces. A tiling of a Banach space is a covering by closed sets with non-empty interior so that they have pairwise disjoint int…
math.FA2013
A characterization of the Radon-Nikodym property
Robert Deville, Óscar Madiedo
It is well known that every bounded below and non increasing sequence in the real line converges. We give a version of this result valid in Banach spaces with the Radon-Nikodym pro…