| dc.contributor.author | González Ortiz, Manuel | |
| dc.contributor.author | León Saavedra, Fernando | |
| dc.contributor.author | Romero de la
Rosa, María Pilar | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2025-01-08T13:38:53Z | |
| dc.date.available | 2025-01-08T13:38:53Z | |
| dc.date.issued | 2025-02 | |
| dc.identifier.issn | 1422-6383 | |
| dc.identifier.issn | 1420-9012 | |
| dc.identifier.other | PID2022-139449NB-I00 | es_ES |
| dc.identifier.other | PID2019-103961GB-C22 | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/34890 | |
| dc.description.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. | es_ES |
| dc.description.sponsorship | 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. | es_ES |
| dc.format.extent | 24 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Springer | es_ES |
| dc.rights | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.source | Results in Mathematics, 2025, 80(1), 2 | es_ES |
| dc.subject.other | Space of entire functions | es_ES |
| dc.subject.other | Differentiation operator | es_ES |
| dc.subject.other | Eigenoperators | es_ES |
| dc.subject.other | Supercyclic operators | es_ES |
| dc.subject.other | Hypercyclic subspaces | es_ES |
| dc.title | Supercyclic properties of extended eigenoperators of the differentiation operator on the space of entire functions | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1007/s00025-024-02317-x | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-139449NB-I00/ES/DINAMICA DE OPERADORES Y ECUACIONES DE EVOLUCION/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-103961GB-C22/ES/FAMILIAS ANALITICAS DE ESPACIOS DE BANACH Y OPERADORES/ | es_ES |
| dc.identifier.DOI | 10.1007/s00025-024-02317-x | |
| dc.type.version | publishedVersion | es_ES |
Excepto si se señala otra cosa, la licencia del ítem se describe como This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
