V. C. C. Miranda

most citedGrothendieck's compactness principle for the absolute weak topology

1 citations · 1 across the 2 of their papers we have counts for

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3 papers

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 $E$ is sepa…

math.FA2021

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 $X$ named coarse $p$ -limited sets ( $1 \leq p < \infty$ ) is introduced by considering weak* $p$ -summable sequences in $X^{'}$ instead of w…

math.FA2021

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…