1 citations · 2 across the 12 of their papers we have counts for
21 papers
Transfinite almost square Banach spaces
Antonio Avilés, Stefano Ciaci, Johann Langemets +2
It is known that a Banach space contains an isomorphic copy of if, and only if, it can be equivalently renormed to be almost square. We introduce and study transfinite versio…
Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca +1
We prove that if is an infinite complete metric space then the set of strongly norm-attaining Lipschitz functions $\SA(M)$ contains a linear subspace isomorphic to . This…
The Daugavet property in spaces of vector-valued Lipschitz functions
Abraham Rueda Zoca
We prove that if a metric space has the finite CEP then has the Daugavet property for every non-zero Banach space . This applies, for in…
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\|…
Linear versus lattice embeddings between Banach lattices
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca +1
A well-known classical result states that is linearly embeddable in a Banach lattice if and only if it is lattice embeddable. Improving results of H.P.~Lotz, H.P.~Rosenthal a…