Antonio Avil'es

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20212026

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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…

math.LO2024

Barely alternating real almost chains and extension operators for compact lines

Antonio Avilés, Maciej Korpalski

Assume $MA (κ)$ . We show that for every real chain of size $κ$ in the quotient Boolean algebra $P (ω) / f in$ we can find an almost chain of representatives such that every $n\in…

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

Barely alternating real almost chains and extension operators for compact lines

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