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Closed injective ideals of multilinear operators, related measures and interpolation

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Closed injective ideals of multilinear operators, related measures 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 2021-09-14T03:33:18Z
dc.date.available 2021-09-14T03:33:18Z
dc.date.issued 2020-03 es_ES
dc.identifier.issn 0025-584X es_ES
dc.identifier.uri http://hdl.handle.net/10251/172305
dc.description This is the peer reviewed version of the following article: Manzano, A, Rueda, P, Sánchez-Pérez, EA. Closed injective ideals of multilinear operators, related measures and interpolation. Mathematische Nachrichten. 2020; 293: 510-532, which has been published in final form at https://doi.org/10.1002/mana.201800415. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. es_ES
dc.description.abstract [EN] 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. es_ES
dc.description.sponsorship Ministerio de Economia, Industria y Competitividad and FEDER, Grant/Award Numbers: MTM2016-77054-C2-1-P, MTM2017-84058-P es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof Mathematische Nachrichten es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Closed ideal es_ES
dc.subject Ideal of multilinear operators es_ES
dc.subject Injective ideal es_ES
dc.subject Interpolation es_ES
dc.subject Measure associated to an ideal es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Closed injective ideals of multilinear operators, related measures and interpolation es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/mana.201800415 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/MINECO//MTM2016-77054-C2-1-P/ES/ANALISIS NO LINEAL, INTEGRACION VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACION/ 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. (2020). Closed injective ideals of multilinear operators, related measures and interpolation. Mathematische Nachrichten. 293(3):510-532. https://doi.org/10.1002/mana.201800415 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1002/mana.201800415 es_ES
dc.description.upvformatpinicio 510 es_ES
dc.description.upvformatpfin 532 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 293 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\424068 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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