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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…