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math.FA2026
On hypercyclic and (common) upper frequently hypercyclic subspaces
Nacib G. Albuquerque, Thiago R. Alves, Geraldo Botelho +1
Let be a unilateral weighted backward shift on , , that admits a -frequently hypercyclic subspace. We prove that admits such a subsp…
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…