33 citations · 45 across the 9 of their papers we have counts for
4 papers · 1 filter
On the set of functions that vanish at infinity and have a unique maximum
Anderson Barbosa, Gustavo Araújo
In this paper, we show that the set of continuous functions defined on that approach zero at infinity and attain their maximum at precisely one (and only one) point…
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…
A general lineability criterion for complements of vector spaces
Gustavo Araújo, Anderson Barbosa
In 1931, Banach proved that, far from being exceptional objects, the Weierstrass functions form a residual set in the space of continuous functions. Later on, in…