3 papers
math.FA2021
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…
math.FA2021
Free Banach lattices generated by a lattice and projectivity
Antonio Avilés, Gonzalo Martínez-Cervantes, José David Rodríguez Abellán +1
In this article we deal with the free Banach lattice generated by a lattice . We prove that if is projec…
math.FA2020
Norm-attaining lattice homomorphisms
Sheldon Dantas, Gonzalo Martínez-Cervantes, José David Rodríguez Abellán +1
In this paper we study the structure of the set $\mbox{Hom}(X,\mathbb{R})$ of all lattice homomorphisms from a Banach lattice into . Using the relation among lattic…