2026-04-28T23:38:55Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/97552025-01-17T09:22:26Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

Closed injective ideals of multilinear operators, related measures and interpolation Manzano Rodríguez, Antonio Rueda, Pilar Sánchez-Pérez, Enrique A. Closed ideal Ideal of multilinear operators Injective ideal Interpolation Measure associated to an ideal Análisis matemático Mathematical analysis 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. Ministerio de Economía, Industria y Competitividad and FEDER. Grant Numbers: MTM2016-77054-C2-1-P, MTM2017-84058-P. 2024-12-03T13:42:48Z 2024-12-03T13:42:48Z 2020-03 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 0025-584X http://hdl.handle.net/10259/9755 10.1002/mana.201800415 1522-2616 eng Mathematische Nachrichten. 2020, V. 293, n. 3, p. 510-532 https://doi.org/10.1002/mana.201800415 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/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/semantics/openAccess application/pdf Wiley-VCH