Luis S'aenz

works on

almost disjoint families 1 banach space isomorphism 1 johnson-lindenstrauss spaces 1 scattered compact spaces 1 tree constructions 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.FA2026

On almost disjoint families and Johnson-Lindenstrauss spaces

Antonio AvilÃ©s, Grzegorz Plebanek, Luis SÃ¡enz

The paper studies almost disjoint families of infinite subsets of ℕ that come from finitely branching trees, constructing associated scattered compact spaces and Johnson‑Lindenstra…

math.FA2025

Complemented ideals of $ℓ_{\infty}$

Michael HruÅ¡Ã¡k, Luis SÃ¡enz

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

math.LO2025

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

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