4 papers
On a theorem due to Murray
A. Barbosa, A. Raposo, G. Ribeiro
In this paper, we introduce the notions of -quasicomplemented and totally -quasicomplemented subspaces and we established some results under these contexts. We show, for exam…
Pointwise linear separation property and infinite pointwise dense lineability
Anselmo Raposo, Geivison Ribeiro
In this note we generalize a criterion within the concept of infinite dense lineability due to Calderón-Moreno, Gerlach-Mena and Prado-Bassas. We also introduce and explore some lo…
Complements of unions: insights on spaceability and applications
Gustavo Araújo, Anderson Barbosa, Anselmo Raposo +1
This paper presents two general criteria to determine spaceability results in the complements of unions of subspaces. The first criterion applies to countable unions of subspaces u…
On the spaceability of the set of functions in the Lebesgue space which are in no other
Gustavo Araújo, Anderson Barbosa, Anselmo Raposo +1
In this note we prove that, for , is -spaceable if, and only if, . Such a problem…