Multilinear extensions of Grothendieck’s theorem

dc.contributor.authorVillanueva Díez, Ignacio
dc.contributor.authorBombal Gordon, Fernando
dc.contributor.authorPérez García, David
dc.date.accessioned2023-06-20T09:25:20Z
dc.date.available2023-06-20T09:25:20Z
dc.date.issued2004
dc.description.abstractWe introduce a new class of multilinear p-summing operators, which we call multiple p-summing. Using them, we can prove several multilinear generalizations of Grothendieck’s “fundamental theorem of the metric theory of tensor products”. Several applications and improvements of previous results are given.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDirección General de Investigación Científica y Técnica (España)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/11656
dc.identifier.citationBombal Gordon, F., Villanueva Díez, I. & Pérez García, D. «Multilinear Extensions of Grothendieck’s Theorem». The Quarterly Journal of Mathematics, vol. 55, n.o 4, diciembre de 2004, pp. 441-50. DOI.org (Crossref), https://doi.org/10.1093/qmath/hah017.
dc.identifier.doi10.1093/qmath/hah017
dc.identifier.issn1464-3847
dc.identifier.officialurlhttps//doi.org/10.1093/qmath/hah017
dc.identifier.relatedurlhttp://qjmath.oxfordjournals.org/archive/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49445
dc.issue.number4
dc.journal.titleQuarterly Journal of Mathematics
dc.language.isoeng
dc.page.final450
dc.page.initial441
dc.publisherOxford University Press
dc.relation.projectID(BMF2001-1284)
dc.rights.accessRightsopen access
dc.subject.cdu517
dc.subject.keywordMultiple absolutely summing multilinear mappings
dc.subject.keywordGrothendieck’s theorem
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleMultilinear extensions of Grothendieck’s theoremen
dc.typejournal article
dc.volume.number55
dspace.entity.typePublication
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relation.isAuthorOfPublicationae08a0bc-9b54-4bcb-b38e-d977d6955d7e
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relation.isAuthorOfPublication.latestForDiscovery5edb2da8-669b-42d1-867d-8fe3144eb216

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