2026-04-28T22:45:16Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/97552025-01-17T09:22:26Zcom_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
600
Sánchez-Pérez, Enrique A.
1224b709-5c3b-42a1-b47e-63ccac93eed0
600
2024-12-03T13:42:48Z
2024-12-03T13:42:48Z
2020-03
0025-584X
http://hdl.handle.net/10259/9755
10.1002/mana.201800415
1522-2616
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.
application/pdf
eng
Wiley-VCH
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/
Closed ideal
Ideal of multilinear operators
Injective ideal
Interpolation
Measure associated to an ideal
Análisis matemático
Mathematical analysis
Closed injective ideals of multilinear operators, related measures and interpolation
info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
info:eu-repo/semantics/openAccess
Mathematische Nachrichten
293
3
510
532
THUMBNAIL
Manzano-mn_2020.pdf.jpg
Manzano-mn_2020.pdf.jpg
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LICENSE
license.txt
license.txt
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https://riubu.ubu.es/bitstream/10259/9755/2/license.txt
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ORIGINAL
Manzano-mn_2020.pdf
Manzano-mn_2020.pdf
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10259/9755
oai:riubu.ubu.es:10259/9755
2025-01-17 10:22:26.821
Repositorio Institucional de la Universidad de Burgos
bubrep@ubu.es
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