1 citations · 1 across the 10 of their papers we have counts for
6 papers · 1 filter
On almost disjoint families and Johnson-Lindenstrauss spaces
Antonio Avilés, Grzegorz Plebanek, Luis Sáenz
Every almost disjoint family of infinite subsets of gives rise to a scattered compact space and a family of Johnson-Lindenstrauss spaces JL. We consider almost…
The ball fixed point property in spaces of continuous functions
Antonio Avilés, María Japón, Christopher Lennard +2
A Banach space has the ball fixed point property (BFPP) if for every closed ball and for every nonexpansive mapping , there is a fixed point. We study the B…
Coordinate systems in Banach spaces and lattices
Antonio Avilés, Christian Rosendal, Mitchell A. Taylor +1
Using methods of descriptive set theory, in particular, the determinacy of infinite games of perfect information, we answer several questions from the literature regarding differen…
Topological properties in tensor products of Banach spaces
Antonio Avilés, Gonzalo Martínez-Cervantes, José Rodríguez +1
Given two Banach spaces and , we analyze when the projective tensor product has Corson's property (C) or is weakly Lindelöf determined (WLD), subspac…
Banach spaces containing 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 such that $\|x+h\|…
The McShane integral in weakly compactly generated spaces
Antonio Avilés, Grzegorz Plebanek, José Rodríguez
Di Piazza and Preiss asked whether every Pettis integrable function defined on [0,1] and taking values in a weakly compactly generated Banach space is McShane integrable. In this p…