RT journal article
T1 Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions
A1 Bensaid, Ikram Fatima Zohra
A1 González, Manuel
A1 León Saavedra, Fernando
A1 Romero de la Rosa, María Pilar
A2 Matemáticas
K1 Space of entire functions
K1 Differentiation operator
K1 Extended eigenoperators
K1 Hypercyclic operators
AB An operator T acting on a separable F-space X is called hypercyclic if there exists f∈X such that the orbit {Tnf} is dense in X. Here we determine when an operator that λ-commutes with the operator of differentiation on the space of entire functions is hypercyclic, extending results by G. Godefroy and J. H. Shapiro [16] and R. M. Aron and D. Markose [1]. © 2022 The Authors
PB ELSEVIER
SN 0022-1236
YR 2022
FD 2022-04
LK http://hdl.handle.net/10498/26369
UL http://hdl.handle.net/10498/26369
LA eng
NO The first author is supported by Aula Universitaria del Estrecho, Plan Propio UCA-Internacional . The remaining authors are supported by Ministerio de Ciencia, Innovación y Universidades (Spain), grants MTM2016-76958 , PGC2018-101514-B-I00 , PID2019-103961GB-C22 , and Vicerrectorado de Investigación de la Universidad de Cádiz . This work has been co-financed by the 2014-2020 ERDF Operational Programme and by the Department of Economy, Knowledge, Business and University of the Regional Government of Andalusia. Project reference: FEDER-UCA18-108415
DS Repositorio Institucional de la Universidad de Cádiz
RD 09-nov-2026