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11 papers
Superreflexive tensor product spaces
Abraham Rueda Zoca
The aim of this note is to prove that, given two superreflexive Banach spaces and , then is superreflexive if and only if either or is finite…
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…
On weakly almost square Banach spaces
José Rodríguez, Abraham Rueda Zoca
We prove some results on weakly almost square Banach spaces and their relatives. On the one hand, we discuss weak almost squareness in the setting of Banach function spaces. More p…
Extremal structure of projective tensor products
Luis C. García-Lirola, Guillaume Grelier, Gonzalo Martínez-Cervantes +1
We prove that, given two Banach spaces and and bounded, closed convex sets and , if a nonzero element $z\in \overline{\mathrm{co}}(C\otimes D)\…
A characterization of a local vector valued Bollobás theorem
Sheldon Dantas, Abraham Rueda Zoca
In this paper, we are interested in giving two characterizations for the so-called property {\bf L}, a local vector valued Bollobás type theorem. We say that has t…
A renorming characterization of Banach spaces containing
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca
A result of G. Godefroy asserts that a Banach space contains an isomorphic copy of if and only if there is an equivalent norm such that, for every finite…
Daugavet property in projective symmetric tensor products of Banach spaces
Miguel Martin, Abraham Rueda Zoca
We show that all the symmetric projective tensor products of a Banach space have the Daugavet property provided has the Daugavet property and either is an -predual…
On Daugavet indices of thickness
Rainis Haller, Johann Langemets, Vegard Lima +2
Inspired by R. Whitley's thickness index the last named author recently introduced the Daugavet index of thickness of Banach spaces. We continue the investigation of the behavior o…
Octahedral norms in duals and biduals of Lipschitz-free spaces
Johann Langemets, Abraham Rueda Zoca
We continue with the study of octahedral norms in the context of spaces of Lipschitz functions and in their duals. First, we prove that the norm of is octahedr…
Diameter two properties and polyhedrality
Ginés López-Pérez, Abraham Rueda Zoca
We give two examples of polyhedral Banach spaces failing all the diameter two properties, showing that there is not any connection between polyhedrality and the diameter two proper…
Almost square and octahedral norms in tensor products of Banach spaces
Johann Langemets, Vegard Lima, Abraham Rueda Zoca
The aim of this note is to study some geometrical properties like diameter two properties, octahedrality and almost squareness in the setting of (symmetric) tensor product spaces.…