%0 Journal Article 
%A Amouch, Mohamed
%A León Saavedra, Fernando
%A Romero de la Rosa, María Pilar
%T Hypercyclicity of operators that λ-commute with the hardy backward shift
%D 2024
%@ 1072-3374
%U http://hdl.handle.net/10498/31384
%X An operator T acting on a separable complex Banach space B is said to be hypercyclic if there exists f ∈ B
such that the orbit {Tnf ∶ n ∈ ℕ} is dense in B. Godefroy and Shapiro (J. Funct. Anal., 98(2):229–269,
1991) characterized those elements, which are hypercyclic, in the commutant of the Hardy backward shift.
In this paper, we study some dynamical properties of operators X that 휆-commute with the Hardy backward
shift B, that is, BX = 휆XB.
%K Space of entire functions
%K Shift operator
%K Extended eigenoperators
%K Hypercyclic operators
%~ Universidad de Cádiz