Anderson Barbosa

most citedA general lineability criterion for complements of vector spaces

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2024

On a theorem due to Murray

A. Barbosa, A. Raposo, G. Ribeiro

In this paper, we introduce the notions of $α$ -quasicomplemented and totally $α$ -quasicomplemented subspaces and we established some results under these contexts. We show, for exam…

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…

On a theorem due to Murray

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 $L_{q}$