On the Maximal Operator Ideal Associated with a Tensor Norm Defined by Interpolation Spaces

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dc.citation.journalTitleCANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
dc.contributor.authorPuerta, M. E.
dc.contributor.authorLoaiza, G.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupMatemáticas y Aplicacionesspa
dc.creatorPuerta, M. E.
dc.creatorLoaiza, G.
dc.date.accessioned2021-04-12T14:04:17Z
dc.date.available2021-04-12T14:04:17Z
dc.date.issued2010-12-01
dc.description.abstractThe classical approach to studying operator ideals using tensor norms mainly focuses on those tensor norms and operator ideals defined by means of `p spaces. In a previous paper, an interpolation space, defined via the real method and using `p spaces, was used to define a tensor norm, and the associated minimal operator ideals were characterized. In this paper, the next natural step is taken, that is, the corresponding maximal operator ideals are characterized. As an application, necessary and sufficient conditions for the coincidence of the maximal and minimal ideals are given. Finally, the previous results are used in order to find some new metric properties of the mentioned tensor norm. © Canadian Mathematical Society 2010.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1406
dc.identifier.doi10.4153/CMB-2010-075-6
dc.identifier.issn00084395
dc.identifier.issn14964287
dc.identifier.otherWOS;000284443100012
dc.identifier.otherSCOPUS;2-s2.0-84866378796
dc.identifier.urihttp://hdl.handle.net/10784/27680
dc.language.isoengeng
dc.publisherCANADIAN MATHEMATICAL SOC
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84866378796&doi=10.4153%2fCMB-2010-075-6&partnerID=40&md5=9e342b576f8fefe8135735ef1ff5016b
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0008-4395
dc.sourceCANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
dc.subjectInterpolation spaceseng
dc.subjectMaximal operator idealseng
dc.subjectUltraproducts of spaceseng
dc.titleOn the Maximal Operator Ideal Associated with a Tensor Norm Defined by Interpolation Spaceseng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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