A. Barbosa

most citedA general lineability criterion for complements of vector spaces

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

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math.FA2023

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…

math.FA2023

On the spaceability of the set of functions in the Lebesgue space $L_{p}$ which are in no other $L_{q}$

Gustavo Araújo, Anderson Barbosa, Anselmo Raposo +1

In this note we prove that, for $p > 0$ , $L_{p} [0, 1] ∖ ⋃_{q \in (p, \infty)} L_{q} [0, 1]$ is $(α, c)$ -spaceable if, and only if, $α < ℵ_{0}$ . Such a problem…

math.FA2023★ 2 cited

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 $C [0, 1]$ of continuous functions. Later on, in…

Complements of unions: insights on spaceability and applications

On the spaceability of the set of functions in the Lebesgue space Lp​ which are in no other Lq​

A general lineability criterion for complements of vector spaces

On the spaceability of the set of functions in the Lebesgue space $L_{p}$ which are in no other $L_{q}$