2 papers
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_Î-hypercyclicity criterior with applications
Thiago R. Alves, Geraldo Botelho, Vinicius V. Fávaro
Given a Furstenberg family F and a subset Î of C, we introduce and explore the notions of F_Î-hypercyclic operator and F-hypercyclic scalar set. First, the study of F_C-hypercycl…