1 citations · 1 across the 3 of their papers we have counts for
5 papers
Strongly regular Banach spaces with big weakly open subsets in the unit ball
Ginés López-Pérez, Abraham Rueda Zoca
We construct, given , a Banach space and a closed, convex and symmetric set with the following properties: 1) is strongly regular (hencefo…
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…
Computing Borel complexity of some geometrical properties in Banach spaces
Ginés López-Pérez, Esteban Martínez Vañó, Abraham Rueda Zoca
We compute the Borel complexity of some classes of Banach spaces such as different versions of diameter two properties, spaces satisfying the Daugavet equation or spaces with an oc…
Banach spaces with small weakly open subsets of the unit ball and massive sets of Daugavet and -points
Christian Cobollo, Daniel Isert, Ginés López-Pérez +6
We prove that there exists an equivalent norm on with the following properties: (1) The unit ball of $(L_\infty[0,1],\Vert\vert\cdot\ver…
The equivalence between CPCP and strong regularity under Krein-Milman property
Ginés López-Pérez, Rubén Medina
We obtain a result in the spirit of the well-known W. Schachermeyer and H. P. Rosenthal research about the equivalence between Radon-Nikodym and Krein-Milman properties, by showing…