A new and self-contained proof of Borwein's norm duality theorem
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http://hdl.handle.net/10045/8059
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| Camp Dublin Core | Valor | Idioma |
|---|---|---|
| dc.contributor | Programación Semi-infinita | en |
| dc.contributor.author | Aragón Artacho, Francisco Javier | - |
| dc.contributor.other | Universidad de Alicante. Departamento de Estadística e Investigación Operativa | en |
| dc.date.accessioned | 2008-10-13T09:10:29Z | - |
| dc.date.available | 2008-10-13T09:10:29Z | - |
| dc.date.issued | 2008-10-13T09:10:29Z | - |
| dc.identifier.citation | ARAGÓN 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. 307-315 | en |
| dc.identifier.issn | 0927-6947 (Print) | - |
| dc.identifier.issn | 1572-932X (Online) | - |
| dc.identifier.uri | http://hdl.handle.net/10045/8059 | - |
| dc.description.abstract | Borwein’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.sponsorship | Grant BES-2003-0188 from FPI Program of MEC (Spain). | en |
| dc.language | eng | en |
| dc.publisher | Springer Netherlands | en |
| dc.rights | The original publication is available at www.springerlink.com | en |
| dc.subject | Convex process | en |
| dc.subject | Sublinear mapping | en |
| dc.subject | Norm duality | en |
| dc.subject | Inner norm | en |
| dc.subject | Outer norm | en |
| dc.subject.other | Matemáticas | en |
| dc.title | A new and self-contained proof of Borwein's norm duality theorem | en |
| dc.type | info:eu-repo/semantics/article | en |
| dc.peerreviewed | si | en |
| dc.identifier.doi | 10.1007/s11228-006-0040-6 | - |
| dc.relation.publisherversion | http://dx.doi.org/10.1007/s11228-006-0040-6 | - |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
| Apareix a la col·lecció: | INV - LOPT - Artículos de Revistas | |
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