3 papers
math.FA2022
Compact spaces associated to separable Banach lattices
Antonio Avilés, Gonzalo Martínez Cervantes, Abraham Rueda Zoca +1
We study the class of compact spaces that appear as structure spaces of separable Banach lattices. In other words, we analyze what spaces appear as principal ideals of separ…
math.FA2022
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…
math.FA2022
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…