Abraham Rueda Zoca

collaborators

6 papers

math.FA2025

Transfinite (almost isometric) ideals in Banach spaces

Esteban MartÃnez VaÃ±Ã³, Abraham Rueda Zoca

We present and study some transfinite versions of (almost isometric) ideals in Banach spaces. As these notions are closely related with Lindenstrauss and Gurari\uÄ± spaces respecti…

math.FA2025

Slice diameter two property in ultrapowers

Abraham Rueda Zoca

In this note we study the inheritance of the slice diameter two property by ultrapower spaces. Given a Banach space $X$ , we give a characterisation of when $(X)_{U}$ , the ul…

math.FA2024

Superreflexive tensor product spaces

Abraham Rueda Zoca

The aim of this note is to prove that, given two superreflexive Banach spaces $X$ and $Y$ , then $X \otimes_{I ¨} Y$ is superreflexive if and only if either $X$ or $Y$ is finit…

math.FA2024

Weak operator Daugavet property and weakly open sets in tensor product spaces

Abraham Rueda Zoca

We obtain new progresses about the diameter two property and the Daugavet property in tensor product spaces. Namely, the main results of the paper are: -If $X^{*}$ has the WODP, then…

math.FA2024

Projective tensor products where every element is norm-attaining

Luis C. GarcÃa-Lirola, Juan Guerrero-Viu, Abraham Rueda Zoca

In this paper we analyse when every element of $X \otimes_{I ¨} Y$ attains its projective norm. We prove that this is the case if $X$ is the dual of a subspace of a predual of…

math.FA2024

Computing Borel complexity of some geometrical properties in Banach spaces

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…