14 citations · 40 across the 38 of their papers we have counts for
5 papers · 1 filter
The uniform strong diameter two property
Esteban Martínez Vañó, Abraham Rueda Zoca
We study a uniform version of the strong diameter two property. In particular, we find a characterisation that does not involve ultrafilters and we use it to provide some examples…
Big weak open radius versus big slice diameter
Ginés López-Pérez, Esteban Martínez Vañó, Abraham Rueda Zoca
We show that there exists a Banach space in which every non-empty weakly open subset of its unit ball has radius one, the maximum possible value, but the infimum of the diameter of…
Almost preserved extreme points
Ramón J. Aliaga, Luis C. García-Lirola, Juan Guerrero-Viu +2
In this paper we introduce the notion of an almost preserved extreme point (APEP) of a set as a weakening of the concept of preserved extreme points, and we systematically study su…
The super Alternative Daugavet property for Banach spaces
Johann Langemets, Marcus Lõo, Miguel Martín +2
We introduce the super alternative Daugavet property (super ADP) which lies strictly between the Daugavet property and the Alternative Daugavet property as follows. A Banach space…
Lipschitz interpolating sequences
A. Jiménez-Vargas, Abraham Rueda Zoca
Let be a metric space with a base point , and let be the Banach space of all Lipschitz functions such that . Given…