21 citations · 101 across the 38 of their papers we have counts for
53 papers
Homeomorphism between close relatives of Hilbertian balls
Antonio Avilés
We present a solution to some problems posed by the author and Kalenda. We show that the closed ball of nonseparable Hilbert space in its weak topology is homeomorphic to its posit…
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…
Lattice embeddings in free Banach lattices over lattices
Antonio Avilés, Gonzalo Martínez-Cervantes, José David Rodríguez Abellán +1
In this article we deal with the free Banach lattice generated by a lattice and its behavior with respect to subspaces. In general, any lattice embedding $i\colon \mathbb{L} \longr…
Local complementation in Banach spaces and its preservation under free constructions
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca
In this work we consider natural generalizations of local complementation in Banach spaces, which include Lipschitz-local complementation. We show that all these notions are indeed…
A renorming characterization of Banach spaces containing
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca
A result of G. Godefroy asserts that a Banach space contains an isomorphic copy of if and only if there is an equivalent norm such that, for every finite…
Abundance of independent sequences in compact spaces and Boolean algebras
Antonio Avilés, Gonzalo Martínez-Cervantes, Grzegorz Plebanek
It follows from a theorem of Rosenthal that a compact space is if and only if every Eberlein continuous image is metrizable. Motivated by this result, for a class of compact…