| dc.contributor.author | Manzano Rodríguez, Antonio | |
| dc.contributor.author | Mastyło, Mieczysław | |
| dc.date.accessioned | 2024-12-03T12:34:38Z | |
| dc.date.available | 2024-12-03T12:34:38Z | |
| dc.date.issued | 2023-01 | |
| dc.identifier.issn | 0021-9045 | |
| dc.identifier.uri | http://hdl.handle.net/10259/9753 | |
| dc.description.abstract | We study two variants of measures of non-compactness of operators associated to a Banach operator ideal in the sense of Pietsch. These measures are motivated by the notions of surjective-ideal-compactness and injective-ideal-compactness, defined respectively by Carl and Stephani and by Stephani. Interpolation results on these measures in the cases of Banach couples generated by a single Banach space are given. As an application, we obtain interpolation theorems on p-compact operators and quasi p-nuclear operators. | en |
| dc.description.sponsorship | The first named author was supported by the Ministerio de Economía, Industria y Competitividad and FEDER under project MTM2017-84058-P. The second author was supported by the National Science Centre, Poland , Project no. 2019/33/B/ST1/00165. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | es |
| dc.publisher | Elsevier | es |
| dc.relation.ispartof | Journal of Approximation Theory. 2023, V. 285, 105836 | es |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | Banach operator ideal | en |
| dc.subject | Measure of non-compactness | en |
| dc.subject | Intermediate space | en |
| dc.subject | Interpolation space | en |
| dc.subject | p-compact operator | en |
| dc.subject | Quasi p-nuclear operator | en |
| dc.subject.other | Análisis matemático | es |
| dc.subject.other | Mathematical analysis | en |
| dc.title | On some measures of non-compactness associated to Banach operator ideals | en |
| dc.type | info:eu-repo/semantics/article | es |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
| dc.relation.publisherversion | https://doi.org/10.1016/j.jat.2022.105836 | es |
| dc.identifier.doi | 10.1016/j.jat.2022.105836 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84058-P/ES/INTERPOLACION, ESPACIOS DE FUNCIONES Y COMPACIDAD DE OPERADORES/ | es |
| dc.journal.title | Journal of Approximation Theory | en |
| dc.volume.number | 285 | es |
| dc.page.initial | 105836 | es |
| dc.type.hasVersion | info:eu-repo/semantics/acceptedVersion | es |
