3 papers
math.FA2020
The positive polynomial Schur property in Banach lattices
Geraldo Botelho, José Lucas P. Luiz
We study the class of Banach lattices that are positively polynomially Schur. Plenty of examples and counterexamples are provided, lattice properties of this class are proved, arbi…
math.FA2020
Complete latticeability in vector-valued sequence spaces
Geraldo Botelho, José Lucas P. Luiz
First we adjust a technique due to Jiménez-Rodríguez to prove the complete latticeability of the set of disjoint non-norm null weakly null sequences and of the set of disjoint non-…
math.FA2019
On the Schur, positive Schur and weak Dunford-Pettis properties in Fréchet lattices
Geraldo Botelho, José Lucas P. Luiz
We prove some general results on sequential convergence in Fréchet lattices that yield, as particular instances, the following results regarding a closed ideal I of a Banach lattic…