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dc.contributor.author | Garcia Castano, F.![]() |
es_ES |
dc.contributor.author | Melguizo Padial, M. A.![]() |
es_ES |
dc.contributor.author | Montesinos Santalucia, Vicente![]() |
es_ES |
dc.date.accessioned | 2016-06-15T06:49:30Z | |
dc.date.available | 2016-06-15T06:49:30Z | |
dc.date.issued | 2015-11-15 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://hdl.handle.net/10251/65935 | |
dc.description.abstract | In this work we prove that in any normed space, the origin is a denting point of a pointed cone if and only if it is a point of continuity for the cone and the closure of the cone in the bidual space with respect to the weak* topology is pointed. Other related results and consequences are also stated. For example, a criterion to know whether a cone has a bounded base, an unbounded base, or does not have any base; and a result on the existence of super efficient points in weakly compact sets. (C) 2015 Elsevier Inc. All rights reserved. | es_ES |
dc.description.sponsorship | We thank the referee for suggestions that helped to improve the overall aspect of the manuscript. This work has been partially supported by the Generalitat Valenciana project GV/2014/072 (F. Garcia Castano) and by the Ministerio de Economia y Competitividad and FEDER project MTM2014-57838-C2-2-P (V. Montesinos). | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Denting points | es_ES |
dc.subject | Points of continuity | es_ES |
dc.subject | Bases for cones | es_ES |
dc.subject | Quasi-interior points | es_ES |
dc.subject | Strictly positive functionals | es_ES |
dc.subject | Quasi-relative interior | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | On geometry of cones and some applications | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.jmaa.2015.06.029 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-57838-C2-2-P/ES/ANALISIS COMPLEJO EN DIMENSION FINITA E INFINITA. GEOMETRIA DE ESPACIOS DE BANACH/ | |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//GV%2F2014%2F072/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Garcia Castano, F.; Melguizo Padial, MA.; Montesinos Santalucia, V. (2015). On geometry of cones and some applications. Journal of Mathematical Analysis and Applications. 431(2):1178-1189. https://doi.org/10.1016/j.jmaa.2015.06.029 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jmaa.2015.06.029 | es_ES |
dc.description.upvformatpinicio | 1178 | es_ES |
dc.description.upvformatpfin | 1189 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 431 | es_ES |
dc.description.issue | 2 | es_ES |
dc.relation.senia | 308111 | es_ES |
dc.contributor.funder | Generalitat Valenciana | |
dc.contributor.funder | Ministerio de Economía y Competitividad |