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| dc.contributor.author | Manzano Rodríguez, Antonio | |
| dc.contributor.author | Rueda, Pilar | |
| dc.contributor.author | Sánchez-Pérez, Enrique A. | |
| dc.date.accessioned | 2024-12-03T13:42:48Z | |
| dc.date.available | 2024-12-03T13:42:48Z | |
| dc.date.issued | 2020-03 | |
| dc.identifier.issn | 0025-584X | |
| dc.identifier.uri | http://hdl.handle.net/10259/9755 | |
| dc.description.abstract | We introduce and discuss several ways of extending the inner measure arisen from the closed injective hull of an ideal of linear operators to the multilinear case. In particular, we consider new measures that allow to characterize the operators that belong to a closed injective ideal of multilinear operators as those having measure equal to zero. Some interpolation formulas for these measures, and consequently interpolation results involving ideals of multilinear operators, are established. Examples and applications related to summing multilinear operators are also shown. | en |
| dc.description.sponsorship | Ministerio de Economía, Industria y Competitividad and FEDER. Grant Numbers: MTM2016-77054-C2-1-P, MTM2017-84058-P. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | es |
| dc.publisher | Wiley-VCH | es |
| dc.relation.ispartof | Mathematische Nachrichten. 2020, V. 293, n. 3, p. 510-532 | es |
| dc.subject | Closed ideal | en |
| dc.subject | Ideal of multilinear operators | en |
| dc.subject | Injective ideal | en |
| dc.subject | Interpolation | en |
| dc.subject | Measure associated to an ideal | en |
| dc.subject.other | Análisis matemático | es |
| dc.subject.other | Mathematical analysis | en |
| dc.title | Closed injective ideals of multilinear operators, related measures and interpolation | en |
| dc.type | info:eu-repo/semantics/article | es |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
| dc.relation.publisherversion | https://doi.org/10.1002/mana.201800415 | es |
| dc.identifier.doi | 10.1002/mana.201800415 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-77054-C2-1-P/ES/ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN/ | es |
| 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.identifier.essn | 1522-2616 | |
| dc.journal.title | Mathematische Nachrichten | de |
| dc.volume.number | 293 | es |
| dc.issue.number | 3 | es |
| dc.page.initial | 510 | es |
| dc.page.final | 532 | es |
| dc.type.hasVersion | info:eu-repo/semantics/acceptedVersion | es |
