Antonio Avil'es

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20212026

most citedCoordinate systems in Banach spaces and lattices

1 citations · 1 across the 10 of their papers we have counts for

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math.FA2025

The ball fixed point property in spaces of continuous functions

Antonio Avilés, María Japón, Christopher Lennard +2

A Banach space $X$ has the ball fixed point property (BFPP) if for every closed ball $B$ and for every nonexpansive mapping $T : B \to B$ , there is a fixed point. We study the B…

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…

The ball fixed point property in spaces of continuous functions

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

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