@misc{10498/26369,
year = {2022},
month = {4},
url = {http://hdl.handle.net/10498/26369},
abstract = {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},
organization = {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},
publisher = {ELSEVIER},
keywords = {Space of entire functions},
keywords = {Differentiation operator},
keywords = {Extended eigenoperators},
keywords = {Hypercyclic operators},
title = {Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions},
doi = {10.1016/j.jfa.2022.109391},
author = {Bensaid, Ikram Fatima Zohra and González, Manuel and León Saavedra, Fernando and Romero de la Rosa, María Pilar},
}