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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.FA2024
On frequently supercyclic operators and an F_Γ-hypercyclicity criterior with applications
Thiago R. Alves, Geraldo Botelho, Vinicius V. Fávaro
Given a Furstenberg family F and a subset Γ of C, we introduce and explore the notions of F_Γ-hypercyclic operator and F-hypercyclic scalar set. First, the study of F_C-hypercyclic…
math.FA2024
On the set of supercyclic operators
Thiago R. Alves, Gustavo C. Souza
In this article, we address a problem posed by F. Bayart regarding the existence of an infinite-dimensional closed vector subspace (excluding the null operator) within the set of s…