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On geometry of cones and some applications

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On geometry of cones and some applications

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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


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