Luis S'aenz

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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…

On almost disjoint families and Johnson-Lindenstrauss spaces

Complemented ideals of ℓ∞​

Complemented ideals of $ℓ_{\infty}$