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A new and self-contained proof of Borwein's norm duality theorem

Please use this identifier to cite or link to this item: http://hdl.handle.net/10045/8059
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dc.contributorProgramación Semi-infinitaen
dc.contributor.authorAragón Artacho, Francisco Javier-
dc.contributor.otherUniversidad de Alicante. Departamento de Estadística e Investigación Operativaen
dc.date.accessioned2008-10-13T09:10:29Z-
dc.date.available2008-10-13T09:10:29Z-
dc.date.issued2008-10-13T09:10:29Z-
dc.identifier.citationARAGÓN ARTACHO, Francisco Javier. "A new and self-contained proof of Borwein's norm duality theorem". Set-Valued Analysis. Vol. 15, No. 3 (Sept. 2007). ISSN 0927-6947, pp. 307-315en
dc.identifier.issn0927-6947 (Print)-
dc.identifier.issn1572-932X (Online)-
dc.identifier.urihttp://hdl.handle.net/10045/8059-
dc.description.abstractBorwein’s norm duality theorem establishes the equality between the outer (inner) norm of a sublinear mapping and the inner (outer) norm of its adjoint mappings. In this note we provide an extended version of this theorem with a new and self-contained proof relying only on the Hahn-Banach theorem. We also give examples showing that the assumptions of the theorem cannot be relaxed.en
dc.description.sponsorshipGrant BES-2003-0188 from FPI Program of MEC (Spain).en
dc.languageengen
dc.publisherSpringer Netherlandsen
dc.rightsThe original publication is available at www.springerlink.comen
dc.subjectConvex processen
dc.subjectSublinear mappingen
dc.subjectNorm dualityen
dc.subjectInner normen
dc.subjectOuter normen
dc.subject.otherMatemáticasen
dc.titleA new and self-contained proof of Borwein's norm duality theoremen
dc.typeinfo:eu-repo/semantics/articleen
dc.peerreviewedsien
dc.identifier.doi10.1007/s11228-006-0040-6-
dc.relation.publisherversionhttp://dx.doi.org/10.1007/s11228-006-0040-6-
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess-
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