3 citations · 5 across the 4 of their papers we have counts for
5 papers
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…
A class of sets in a Banach space coarser than limited sets
Pablo Galindo, V. C. C. Miranda
A wide new class of subsets of a Banach space named coarse -limited sets () is introduced by considering weak* -summable sequences in instead of w…
Grothendieck-type subsets of Banach lattices
Pablo Galindo, V. C. C. Miranda
In the setting of Banach lattices the weak (resp. positive) Grothendieck spaces have been defined. We localize such notions by defining new classes of sets that we study and compar…
A note on the Banach lattice , its dual and its bidual
M. L. Lourenço, V. C. C. Miranda
The main purpose of this paper is to study some geometric and topological properties on sum of the finite dimensional Banach lattice , its dual and its bidual. Amo…
The property (d) and the almost limited completely continuous operators
M. L. Lourenço, V. C. C. Miranda
In this paper, we study some geometric properties in Banach lattices and the class of almost limited completely continuous operators. For example, we study Banach lattices with the…