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math.FA2023
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…
math.FA2023★ 1 cited
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…