3 papers
math.FA2020
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…
math.FA2019
-orthogonality, octahedrality and Daugavet property in Banach spaces
Ginés López-Pérez, Abraham Rueda Zoca
In contrast with the separable case, we prove that the existence of almost -orthogonal vectors in a nonseparable Banach space (octahedrality) does not imply the existence of…
math.FA2016
Lipschitz slices versus linear slices in Banach spaces
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
The aim of this note is study the topology generated by Lipschitz slices in the unit sphere of a Banach space. We prove that the above topology agrees with the weak topology in the…