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oai:riubu.ubu.es:10259/97542025-01-17T09:23:45Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

2024-12-03T13:14:49Z urn:hdl:10259/9754 Closed surjective ideals of multilinear operators and interpolation Manzano Rodríguez, Antonio Rueda, Pilar Sánchez-Pérez, Enrique A. Ideal of multilinear operators Closed ideal Surjective ideal Measure associated to an ideal Interpolation 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. 2024-12-03T13:14:49Z 2024-12-03T13:14:49Z 2021-01 info:eu-repo/semantics/article 2662-2033 http://hdl.handle.net/10259/9754 10.1007/s43037-020-00115-5 1735-8787 eng Banach Journal of Mathematical Analysis. 2021, V. 15, 27 https://doi.org/10.1007/s43037-020-00115-5 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/ 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/ info:eu-repo/semantics/openAccess Birkhäuser (Springer)