Closed surjective ideals of multilinear operators and interpolation

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dc.contributor.affiliationDepartamento de Matemática Aplicada
dc.contributor.affiliationInstituto Universitario de Matemática Pura y Aplicada
dc.contributor.affiliationEscuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos
dc.contributor.authorManzano, Antonioes_ES
dc.contributor.authorRueda, Pilares_ES
dc.contributor.authorSánchez Pérez, Enrique Alfonso
dc.contributor.funderAgencia Estatal de Investigaciónes_ES
dc.contributor.funderEuropean Regional Development Fundes_ES
dc.contributor.funderMinisterio de Economía y Competitividades_ES
dc.date.accessioned2022-10-11T18:04:35Z
dc.date.available2022-10-11T18:04:35Z
dc.date.issued2021-04es_ES
dc.description.abstract[EN] In this paper we introduce a function for multilinear operators that can be considered as an extension of the so-called outer measure associated to a linear operator ideal. We prove that it allows to characterize the operators that belong to a closed surjective ideal of multilinear operators as those having measure equal to zero. We also obtain some interpolation formulas for this new measure. As a consequence we deduce interpolation results for arbitrary closed surjective ideals of multilinear operators which recover, in particular, different results previously established in the literature.en_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationManzano, A.; Rueda, P.; Sánchez Pérez, EA. (2021). Closed surjective ideals of multilinear operators and interpolation. Banach Journal of Mathematical Analysis. 15(2):1-22. https://doi.org/10.1007/s43037-020-00115-5es_ES
dc.description.issue2es_ES
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dc.description.sponsorshipThe authors would like to thank the referees for their useful comments which have led to improve the paper. A. Manzano was supported in part by the Ministerio de Economia, Industria y Competitividad and FEDER under project MTM2017-84058-P. P. Rueda and E. A. Sanchez-Perez were supported in part by the Ministerio de Economia, Industria y Competitividad and FEDER under project MTM2016-77054-C2-1-P.es_ES
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dc.description.volume15es_ES
dc.identifier.doi10.1007/s43037-020-00115-5es_ES
dc.identifier.issn1735-8787es_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/187510
dc.languageIngléses_ES
dc.publisherDuke University Presses_ES
dc.relation.ispartofBanach Journal of Mathematical Analysises_ES
dc.relation.pasarelaS\458354es_ES
dc.relation.projectIDinfo: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_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2016-77054-C2-1-P//ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN/es_ES
dc.relation.publisherversionhttps://doi.org/10.1007/s43037-020-00115-5es_ES
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dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectIdeal of multilinear operatorses_ES
dc.subjectClosed ideales_ES
dc.subjectSurjective ideales_ES
dc.subjectMeasure associated to an ideales_ES
dc.subjectInterpolationes_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleClosed surjective ideals of multilinear operators and interpolationes_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
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