3 papers
math.FA2026
The Aron--Rueda zero-subspace problem
Nacib Albuquerque, Daniel M. Pellegrino, Anselmo Raposo
We determine the exact finite-dimensional threshold in the zero-subspace problem of Aron and Rueda for complex homogeneous polynomials. More precisely, for every and we det…
math.FA2026
On hypercyclic spaces and (common) -frequently hypercyclic spaces
Nacib G. Albuquerque, Thiago R. Alves, Geraldo Botelho +1
Let be an unilateral weighted backward shift on , , that admits a -frequently hypercyclic subspace. We prove that admits such a subs…
math.FA2026
Geometric spaceability in sequence classes and operator ideals
Nacib G. Albuquerque, Jamilson R. Campos, Luiz Felipe P. Sousa
This paper investigates advanced notions of lineability and spaceability within the frameworks of sequence spaces and operator ideals. We propose the notion of \emph{Standard Seque…