2026-04-28T19:32:46Zhttps://riubu.ubu.es/oai/request

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

Manzano Rodríguez, Antonio 758 600 0000-0002-1525-5319 Rueda, Pilar 858ddc0b-7a91-4668-bef0-0626ec3a58f7 Sánchez-Pérez, Enrique A. 1224b709-5c3b-42a1-b47e-63ccac93eed0 2024-12-03T13:14:49Z 2024-12-03T13:14:49Z 2021-01 2662-2033 http://hdl.handle.net/10259/9754 10.1007/s43037-020-00115-5 1735-8787 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. 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 Economía, Industria y Competitividad and FEDER under project MTM2017-84058-P. P. Rueda and E. A. Sánchez-Pérez were supported in part by the Ministerio de Economía, Industria y Competitividad and FEDER under project MTM2016-77054-C2-1-P. application/pdf eng Birkhäuser (Springer) 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/ Ideal of multilinear operators Closed ideal Surjective ideal Measure associated to an ideal Interpolation Análisis matemático Mathematical analysis Closed surjective ideals of multilinear operators and interpolation info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion info:eu-repo/semantics/openAccess Banach Journal of Mathematical Analysis 15 2 THUMBNAIL Manzano-bjma_2021.pdf.jpg Manzano-bjma_2021.pdf.jpg IM Thumbnail image/jpeg 3825 https://riubu.ubu.es/bitstream/10259/9754/3/Manzano-bjma_2021.pdf.jpg ac0c3976244cadb5183b2586b0c035c3 MD5 3 LICENSE license.txt license.txt text/plain; charset=utf-8 999 https://riubu.ubu.es/bitstream/10259/9754/2/license.txt b295bcbce42e2caabeb0c623d3860c06 MD5 2 ORIGINAL Manzano-bjma_2021.pdf Manzano-bjma_2021.pdf application/pdf 344106 https://riubu.ubu.es/bitstream/10259/9754/1/Manzano-bjma_2021.pdf 9cd7f451702b94386c091aea5b59457c MD5 1 10259/9754 oai:riubu.ubu.es:10259/9754 2025-01-17 10:23:45.477 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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