@article{10902/34890,
year = {2025},
month = {2},
url = {https://hdl.handle.net/10902/34890},
abstract = {A continuous linear operator L defined on the space of entire functions H(C) is said to be an extended λ-eigenoperator of the differentiation operator D provided DL = λLD. Here we fully characterize when an extended λ-eigenoperator of D is supercyclic, it has a hypercyclic subspace or it has a supercyclic subspace.},
organization = {This publication is part of the project PID2022-139449NB-I00, funded by MCIN/AEI/10.13039/501100011033/FEDER, UE. The first author were supported by Ministerio de Ciencia, Innovación y Universidades (Spain), grant PID2019-103961GB-C22. The authors were also supported by the grant “Operator Theory: an interdisciplinary approach”, reference ProyExcel 00780, a project financed in the 2021 call for Grants for Excellence Projects, under a competitive bidding regime, aimed at entities qualified as Agents of the Andalusian Knowledge System, in the scope of the Andalusian Research, Development and Innovation Plan (PAIDI 2020). Counseling of University, Research and Innovation of the Junta de Andalucía.},
publisher = {Springer},
publisher = {Results in Mathematics, 2025, 80(1), 2},
title = {Supercyclic properties of extended eigenoperators of the differentiation operator on the space of entire functions},
author = {González Ortiz, Manuel and León Saavedra, Fernando and Romero de la
 Rosa, María Pilar},
}