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<title>Closed surjective ideals of multilinear operators and interpolation</title>
<creator>Manzano Rodríguez, Antonio</creator>
<creator>Rueda, Pilar</creator>
<creator>Sánchez-Pérez, Enrique A.</creator>
<subject>Ideal of multilinear operators</subject>
<subject>Closed ideal</subject>
<subject>Surjective ideal</subject>
<subject>Measure associated to an ideal</subject>
<subject>Interpolation</subject>
<description>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.</description>
<date>2024-12-03</date>
<date>2024-12-03</date>
<date>2021-01</date>
<type>info:eu-repo/semantics/article</type>
<identifier>2662-2033</identifier>
<identifier>http://hdl.handle.net/10259/9754</identifier>
<identifier>10.1007/s43037-020-00115-5</identifier>
<identifier>1735-8787</identifier>
<language>eng</language>
<relation>Banach Journal of Mathematical Analysis. 2021, V. 15, 27</relation>
<relation>https://doi.org/10.1007/s43037-020-00115-5</relation>
<relation>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/</relation>
<relation>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/</relation>
<rights>info:eu-repo/semantics/openAccess</rights>
<publisher>Birkhäuser (Springer)</publisher>
</thesis></metadata></record></GetRecord></OAI-PMH>