1 citations · 2 across the 3 of their papers we have counts for
3 papers
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…
Disjoint -convergent operators and their adjoints
Geraldo Botelho, Luis Alberto Garcia, Vinícius C. C. Miranda
First we give conditions on a Banach lattice so that an operator from to any Banach space is disjoint -convergent if and only if is almost Dunford-Pettis. Then w…
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…