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20142024
most citedOctahedral norms in spaces of operators

1 citations · 1 across the 8 of their papers we have counts for

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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 has the WODP, then…

math.FA2024

Projective tensor products where every element is norm-attaining

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

In this paper we analyse when every element of attains its projective norm. We prove that this is the case if is the dual of a subspace of a predual of…

math.FA2024

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 , we give a characterisation of when , the ul…

math.FA2023

Rank-one perturbations and norm-attaining operators

Gonzalo Martínez-Cervantes, Mingu Jung, Abraham Rueda Zoca

The main goal of this article is to show that for every (reflexive) infinite-dimensional Banach space there exists a reflexive Banach space and …

math.FA2022

Several remarks on norm attaining in tensor product spaces

Abraham Rueda Zoca

The aim of this note is to obtain results about when the norm of a projective tensor product is strongly subdifferentiable. We prove that if is strongly subdiff…

math.FA2022

Compact spaces associated to separable Banach lattices

Antonio Avilés, Gonzalo Martínez Cervantes, Abraham Rueda Zoca +1

We study the class of compact spaces that appear as structure spaces of separable Banach lattices. In other words, we analyze what spaces appear as principal ideals of separ…