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| dc.contributor.author | Manzano Rodríguez, Antonio | |
| dc.contributor.author | Mastyło, Mieczysław | |
| dc.date.accessioned | 2024-12-13T12:48:19Z | |
| dc.date.available | 2024-12-13T12:48:19Z | |
| dc.date.issued | 2025-01 | |
| dc.identifier.issn | 2662-2009 | |
| dc.identifier.uri | http://hdl.handle.net/10259/9782 | |
| dc.description.abstract | We study weakly compact multilinear operators. We prove a variant of Gantmacher’s weak compactness theorem for multilinear operators. We also present Lions–Peetre type results on weak compactness interpolation for multilinear operators. Furthermore, we provide an analogue of Persson’s result on interpolation of weakly compact operators under the assumption that the target Banach couple satisfies a certain weakly compact approximation property. | en |
| dc.description.sponsorship | The first named author was supported in part by UCM Grant PR3/23-30811. The research of 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 | Birkhäuser (Springer) | es |
| dc.relation.ispartof | Advances in Operator Theory. 2025, V. 10, n. 1, 20 | es |
| dc.rights | Atribución 4.0 Internacional | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | Multilinear operator | en |
| dc.subject | Weak compactness | en |
| dc.subject | Interpolation | en |
| dc.subject | Factorization | en |
| dc.subject | Tensor product | en |
| dc.subject.other | Análisis matemático | es |
| dc.subject.other | Mathematical analysis | en |
| dc.title | On weakly compact multilinear operators 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/10.1007/s43036-024-00410-0 | es |
| dc.identifier.doi | 10.1007/s43036-024-00410-0 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/UCM//PR3%2F23-30811//Teoría de Interpolación, Espacios de Funciones y Operadores Multilineales/TIEFOM/ | es |
| dc.identifier.essn | 2538-225X | |
| dc.journal.title | Advances in Operator Theory | en |
| dc.volume.number | 10 | es |
| dc.issue.number | 1 | es |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es |
