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…