Antonio Avil'es

activity

20212025

collaborators

3 papers

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.FA2022

Topological properties in tensor products of Banach spaces

Antonio Avilés, Gonzalo Martínez-Cervantes, José Rodríguez +1

Given two Banach spaces $X$ and $Y$ , we analyze when the projective tensor product $X \otimes_{π} Y$ has Corson's property (C) or is weakly Lindelöf determined (WLD), subspac…

math.FA2021

Banach spaces containing $c_{0}$ and elements in the fourth dual

Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca

A recent result of T.~Abrahamsen, P.~Hájek and S.~Troyanski states that a separable Banach space is almost square if and only if there exists $h \in S_{X^{****}}$ such that $\|x+h\|…

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

Topological properties in tensor products of Banach spaces

Banach spaces containing c0​ and elements in the fourth dual

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

Banach spaces containing $c_{0}$ and elements in the fourth dual