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On interpolation of bilinear operators by methods associated to polygons

dc.contributor.authorCobos Díaz, Fernando
dc.contributor.authorCordeiro, José María
dc.contributor.authorMartínez, Antón
dc.date.accessioned2023-06-20T16:52:50Z
dc.date.available2023-06-20T16:52:50Z
dc.date.issued1999
dc.description.abstractThe authors investigate the behaviour of bilinear operators under interpolation by the methods associated to polygons. These methods, working with N-tuples (N _ 3) of Banach spaces instead of couples, were introduced by F. Cobos and J. Peetre [Proc. Lond. Math. Soc., III. Ser. 63, 371-400 (1991; Zbl 0727.46053)]. The main properties of methods defined by polygons are summarized and then a bilinear interpolation theorem for a combination of the K- and J-methods is established. Another bilinear interpolation theorem for the J-method is given and a counterexample shows that a similar result fails for the K-method. The final part contains an application to interpolation of operator spaces starting from Banach lattices.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.statusinpress
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15465
dc.identifier.issn0041-7084
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57312
dc.issue.number2B
dc.journal.titleBollettino della Unione Matematica Italiana
dc.language.isoeng
dc.page.final330
dc.page.initial319
dc.publisherUnione matematica italiana
dc.relation.projectIDPB94-0252
dc.rights.accessRightsrestricted access
dc.subject.cdu519.6
dc.subject.keywordBehaviour of bilinear operators under interpolation
dc.subject.keywordMethods defined by polygons
dc.subject.keywordCombination of the K- and J-methods
dc.subject.ucmAnálisis numérico
dc.subject.unesco1206 Análisis Numérico
dc.titleOn interpolation of bilinear operators by methods associated to polygonsen
dc.typejournal article
dc.volume.number8
dspace.entity.typePublication
relation.isAuthorOfPublicationad35279f-f928-4b72-a5bd-e422662ac4c1
relation.isAuthorOfPublication.latestForDiscoveryad35279f-f928-4b72-a5bd-e422662ac4c1

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