1 citations · 1 across the 7 of their papers we have counts for
14 papers
A negative solution to the complemented subspace problem in Banach lattices
D. de Hevia, G. Martínez-Cervantes, A. Salguero-Alarcón +1
Building on a recent construction of G. Plebanek and the third named author, it is shown that a complemented subspace of a Banach lattice need not be linearly isomorphic to a Banac…
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…
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…
Some remarks on the weak maximizing property
Sheldon Dantas, Mingu Jung, Gonzalo Martínez-Cervantes
A pair of Banach spaces is said to have the weak maximizing property (WMP, for short) if for every bounded linear operator from into , the existence of a non-we…
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…