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Closed surjective ideals of multilinear operators and interpolation

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Closed surjective ideals of multilinear operators and interpolation

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dc.contributor.author Manzano, Antonio es_ES
dc.contributor.author Rueda, Pilar es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2022-10-11T18:04:35Z
dc.date.available 2022-10-11T18:04:35Z
dc.date.issued 2021-04 es_ES
dc.identifier.issn 1735-8787 es_ES
dc.identifier.uri http://hdl.handle.net/10251/187510
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. es_ES
dc.description.sponsorship The 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
dc.language Inglés es_ES
dc.publisher Duke University Press es_ES
dc.relation.ispartof Banach Journal of Mathematical Analysis es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Ideal of multilinear operators es_ES
dc.subject Closed ideal es_ES
dc.subject Surjective ideal es_ES
dc.subject Measure associated to an ideal es_ES
dc.subject Interpolation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Closed surjective ideals of multilinear operators and interpolation es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s43037-020-00115-5 es_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_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD//MTM2016-77054-C2-1-P//ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Manzano, 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/s43037-020-00115-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s43037-020-00115-5 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 22 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\458354 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD es_ES
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