Abraham Rueda Zoca

activity

20172024

most citedOn strongly norm attaining Lipschitz maps

36 citations · 47 across the 11 of their papers we have counts for

collaborators

11 papers

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

In this paper we analyse when every element of $X \otimes_{π} Y$ 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

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.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 $X$ there exists a reflexive Banach space $Y$ and $T, R \in L (X, Y)$ …

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 $X \otimes^_{π} Y$ 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 $C (K)$ spaces appear as principal ideals of separ…

math.FA2022

Banach spaces which always produce octahedral spaces of operators

Abraham Rueda Zoca

We characterise those Banach spaces $X$ which satisfy that $L (Y, X)$ is octahedral for every non-zero Banach space $Y$ . They are those satisfying that, for every finite dimensional…

math.FA2021

Extremal structure in ultrapowers of Banach spaces

Luis C. García-Lirola, Guillaume Grelier, Abraham Rueda Zoca

Given a bounded convex subset $C$ of a Banach space $X$ and a free ultrafilter $U$ , we study which points $(x_{i})_{U}$ are extreme points of the ultrapower $C_\mathc…

math.FA2020★ 11 cited

Points of differentiability of the norm in Lipschitz-free spaces

Ramón J. Aliaga, Abraham Rueda Zoca

We consider convex series of molecules in Lipschitz-free spaces, i.e. elements of the form $μ = \sum_{n} λ_{n} \frac{δ _{x_{n}} - δ _{y_{n}}}{d ( x _{n} , y _{n} )}$ such that $∥ μ ∥ = \sum_{n} ∣ λ_{n} ∣$ . We cha…

math.FA2018★ 36 cited

On strongly norm attaining Lipschitz maps

Bernardo Cascales, Rafa Chiclana, Luis Garcia-Lirola +2

We study the set $SNA (M, Y)$ of those Lipschitz maps from a (complete pointed) metric space $M$ to a Banach space $Y$ which (strongly) attain their Lipschitz norm (i.…

math.FA2017

Strong diameter two property and convex combination of slices reaching the unit sphere

Gines Lopez-Perez, Miguel Martin, Abraham Rueda Zoca

We characterise the class of those Banach spaces in which every convex combination of slices of the unit ball intersects the unit sphere as the class of those spaces in which every…