6 citations · 14 across the 6 of their papers we have counts for
11 papers
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…
-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…
Bidual octahedral renormings and strong regularity in Banach spaces
Johann Langemets, Ginés López-Pérez
We prove that every separable Banach space containing can be equivalently renormed so that its bidual space is octahedral, which answers, in the separable case, a question…
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…
Diameter two properties in James spaces
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
We study the diameter two properties in the spaces , and . We show that the topological dual space of the previous Banach spaces fails every diameter two…
Subspaces of Banach spaces with big slices
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
We study when diameter two properties pass down to subspaces. We obtain that the slice two property (respectively diameter two property, strong diameter two property) passes down f…
Octahedral norms in spaces of operators
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
We study octahedral norms in the space of bounded linear operators between Banach spaces. In fact, we prove that has octahedral norm whenever and have octahedral…
Octahedral norms and convex combination of slices in Banach spaces
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
We study the relation between octahedral norms, Daugavet property and the size of convex combinations of slices in Banach spaces. We prove that the norm of an arbitrary Banach spac…
Weak-star point of continuity property and Schauder bases
Ginés López Pérez, José A. Soler Arias
We characterize the weak-star point of continuity property for subspaces of dual spaces with separable predual and we deduce that the weak-star point of continuity property is dete…
Extreme differences between weakly open subsets and convex combinations of slices in Banach spaces
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
We show that every Banach space containing isomorphic copies of can be equivalently renormed so that every nonempty relatively weakly open subset of its unit ball has diamete…
Big slices versus big relatively weakly open subsets in Banach spaces
Julio Becerra Guerrero, Gines Lopez Perez, Abraham Rueda Zoido
We study the unknown differences between the size of slices and relatively weakly open subsets of the unit ball in Banach spaces. We show that every Banach space containing isomorp…