Luis S'aenz

collaborators

3 papers

math.FA2026

On almost disjoint families and Johnson-Lindenstrauss spaces

Antonio Avilés, Grzegorz Plebanek, Luis Sáenz

Every almost disjoint family $A$ of infinite subsets of $ω$ gives rise to a scattered compact space $K_{A}$ and a family of Johnson-Lindenstrauss spaces JL $_{p} (A)$ . We consider almost…

math.FA2025

Complemented ideals of $ℓ_{\infty}$

Michael Hrušák, Luis Sáenz

Answering questions raised in \cite{Leonetti, Uzcategui} we characterize ideals $I \subseteq P (ω)$ such that $c_{0, I}$ is complemented in $ℓ_{\infty}$ as…

math.LO2025

A Banach space with $L$ -orthogonal sequences but without $L$ -orthogonal elements

Antonio Avilés, Gonzalo Martínez-Cervantes, Alejandro Poveda +1

We prove that the existence of Banach spaces with $L$ -orthogonal sequences but without $L$ -orthogonal elements is independent of the standard foundation of Mathematics, ZFC. This p…

On almost disjoint families and Johnson-Lindenstrauss spaces

Complemented ideals of ℓ∞​

A Banach space with L-orthogonal sequences but without L-orthogonal elements

Complemented ideals of $ℓ_{\infty}$

A Banach space with $L$ -orthogonal sequences but without $L$ -orthogonal elements