• openAccess   Norm-attaining lattice homomorphisms 

      Dantas, Sheldon; Martínez Cervantes, Gonzalo; Rodríguez Abellán, José David; Rueda Zoca, Abraham EMS (European Mathematical Society) (2021-07-26)
      In this paper we study the structure of the set Hom(X,R) of all lattice homomorphisms from a Banach lattice X into R. Using the relation among lattice homomorphisms and disjoint families, we prove that the topological dual ...
    • openAccess   On the existence of non-norm-attaining operators 

      Dantas, Sheldon; Jung, Mingu; Martínez Cervantes, Gonzalo Cambridge University Press (2021-07-09)
      In this article, we provide necessary and sufficient conditions for the existence of non-norm-attaining operators in L(E,F) . By using a theorem due to Pfitzner on James boundaries, we show that if there exists a ...
    • openAccess   Some remarks on the weak maximizing property 

      Dantas, Sheldon; Jung, Mingu; Martínez Cervantes, Gonzalo Elsevier (2021-06-16)
      A pair of Banach spaces is said to have the weak maximizing property (WMP, for short) if for every bounded linear operator T from E into F, the existence of a non-weakly null maximizing sequence for T implies that T attains ...