Compact convex sets in 2-dimensional asymmetric normed lattices

[EN] In this note, we study the geometric structure of compact convex sets in 2-dimensional asymmetric normed lattices. We prove that every q-compact convex set is strongly q-compact and we give a complete geometric description of the compact convex set with non empty interior in (R-2, q), where q i...

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Autores: Jonard-Perez, Natalia, Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
Formato: artículo
Fecha de publicación:2016
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/150312
Acesso em linha:https://riunet.upv.es/handle/10251/150312
Access Level:acceso abierto
Palavra-chave:Asymmetric norm
Asymmetric lattice norm
Compactness
Convex body
Convex sets
MATEMATICA APLICADA
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spelling Compact convex sets in 2-dimensional asymmetric normed latticesJonard-Perez, NataliaSánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154Asymmetric normAsymmetric lattice normCompactnessConvex bodyConvex setsMATEMATICA APLICADA[EN] In this note, we study the geometric structure of compact convex sets in 2-dimensional asymmetric normed lattices. We prove that every q-compact convex set is strongly q-compact and we give a complete geometric description of the compact convex set with non empty interior in (R-2, q), where q is an asymmetric lattice norm.The first author has been supported by CONACYT (Mexico) under Grant 204028. The second author has been supported by the Ministerio de Economia y Competitividad (Spain) under Grant MTM2012-36740-C02-02.Informa UK (National Inquiry Services Center)Departamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería de Caminos, Canales y PuertosMinisterio de Economía y CompetitividadConsejo Nacional de Ciencia y Tecnología, MéxicoRepositorio Institucional de la Universitat Politècnica de València Riunet20162016-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/150312reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2012-36740-C02-02 Operadores multilineales, espacios de funciones integrables y aplicacionesCONACyT CONACyT 204028open accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1503122026-06-13T07:49:27Z
dc.title.none.fl_str_mv Compact convex sets in 2-dimensional asymmetric normed lattices
title Compact convex sets in 2-dimensional asymmetric normed lattices
spellingShingle Compact convex sets in 2-dimensional asymmetric normed lattices
Jonard-Perez, Natalia
Asymmetric norm
Asymmetric lattice norm
Compactness
Convex body
Convex sets
MATEMATICA APLICADA
title_short Compact convex sets in 2-dimensional asymmetric normed lattices
title_full Compact convex sets in 2-dimensional asymmetric normed lattices
title_fullStr Compact convex sets in 2-dimensional asymmetric normed lattices
title_full_unstemmed Compact convex sets in 2-dimensional asymmetric normed lattices
title_sort Compact convex sets in 2-dimensional asymmetric normed lattices
dc.creator.none.fl_str_mv Jonard-Perez, Natalia
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author Jonard-Perez, Natalia
author_facet Jonard-Perez, Natalia
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author_role author
author2 Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author2_role author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos
Ministerio de Economía y Competitividad
Consejo Nacional de Ciencia y Tecnología, México
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Asymmetric norm
Asymmetric lattice norm
Compactness
Convex body
Convex sets
MATEMATICA APLICADA
topic Asymmetric norm
Asymmetric lattice norm
Compactness
Convex body
Convex sets
MATEMATICA APLICADA
description [EN] In this note, we study the geometric structure of compact convex sets in 2-dimensional asymmetric normed lattices. We prove that every q-compact convex set is strongly q-compact and we give a complete geometric description of the compact convex set with non empty interior in (R-2, q), where q is an asymmetric lattice norm.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/150312
url https://riunet.upv.es/handle/10251/150312
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2012-36740-C02-02 Operadores multilineales, espacios de funciones integrables y aplicaciones
CONACyT CONACyT 204028
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Informa UK (National Inquiry Services Center)
publisher.none.fl_str_mv Informa UK (National Inquiry Services Center)
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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