RT journal article
T1 Hypercyclicity of operators that λ-commute with the hardy backward shift
A1 Amouch, Mohamed
A1 León Saavedra, Fernando
A1 Romero de la Rosa, María Pilar
A2 Matemáticas
K1 Space of entire functions
K1 Shift operator
K1 Extended eigenoperators
K1 Hypercyclic operators
AB An operator T acting on a separable complex Banach space B is said to be hypercyclic if there exists f ∈ Bsuch 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 backwardshift B, that is, BX = 휆XB.
PB Springer
SN 1072-3374
YR 2024
FD 2024-01-22
LK http://hdl.handle.net/10498/31384
UL http://hdl.handle.net/10498/31384
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 22-sep-2026