1 citations · 2 across the 6 of their papers we have counts for
7 papers
Norm attainment for multilinear operators and polynomials on Banach Spaces and Banach lattices
Luis A. Garcia, José Lucas P. Luiz, Vinícius C. C. Miranda
We study norm attainment for multilinear operators and homogeneous polynomials between Banach spaces, as well as for positive multilinear operators between Banach lattices. We esta…
On norm-attaining positive operators between Banach lattices
José Lucas P. Luiz, Vinícius C. C. Miranda
In this paper we study the norm-attainment of positive operators between Banach lattices. By considering an absolute version of James boundaries, we prove that: If is a reflexi…
Disjoint Dunford-Pettis-type properties in Banach lattices
Geraldo Botelho, José Lucas P. Luiz, Vinícius C. C. Miranda
New characterizations of the disjoint Dunford-Pettis property of order (disjoint ) are proved and applied to show that a Banach lattice of cotype has the disjoint $D…
Grothendieck's compactness principle for the absolute weak topology
Geraldo Botelho, José Lucas P. Luiz, Vinicius C. C. Miranda
We prove the following results: (i) Every absolutely weakly compact set in a Banach lattice is absolutely weakly sequentially compact. (ii) The converse of (i) holds if is sepa…
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…
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-…