@misc{10498/31384, year = {2024}, month = {1}, url = {http://hdl.handle.net/10498/31384}, abstract = {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.}, publisher = {Springer}, keywords = {Space of entire functions}, keywords = {Shift operator}, keywords = {Extended eigenoperators}, keywords = {Hypercyclic operators}, title = {Hypercyclicity of operators that λ-commute with the hardy backward shift}, doi = {10.1007/s10958-023-06638-0}, author = {Amouch, Mohamed and León Saavedra, Fernando and Romero de la Rosa, María Pilar}, }