Motzkin predecomposable sets

We introduce and study the family of sets in a finite dimensional Euclidean space which can be written as the Minkowski sum of a compact and convex set and a convex cone (not necessarily closed). We establish several properties of the class of such sets, called Motzkin predecomposable, some of which...

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Autores: Iusem, N., Martínez Legaz, Juan Enrique|||0000-0002-6845-6202, Todorov, Maxim Ivanov
Formato: artículo
Fecha de publicación:2014
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:182699
Acesso em linha:https://ddd.uab.cat/record/182699
https://dx.doi.org/urn:doi:10.1007/s10898-013-0097-3
Access Level:acceso abierto
Palavra-chave:Motzkin decomposable sets
Convex sets
Convex cones
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spelling Motzkin predecomposable setsIusem, N.Martínez Legaz, Juan Enrique|||0000-0002-6845-6202Todorov, Maxim IvanovMotzkin decomposable setsConvex setsConvex conesWe introduce and study the family of sets in a finite dimensional Euclidean space which can be written as the Minkowski sum of a compact and convex set and a convex cone (not necessarily closed). We establish several properties of the class of such sets, called Motzkin predecomposable, some of which hold also for the class of Motzkin decomposable sets (i.e., those for which the convex cone in the decomposition is requested to be closed), while others are specific of the new family. 22014-01-0120142014-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/182699https://dx.doi.org/urn:doi:10.1007/s10898-013-0097-3reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2011-29064-C03-01open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1826992026-06-06T12:50:31Z
dc.title.none.fl_str_mv Motzkin predecomposable sets
title Motzkin predecomposable sets
spellingShingle Motzkin predecomposable sets
Iusem, N.
Motzkin decomposable sets
Convex sets
Convex cones
title_short Motzkin predecomposable sets
title_full Motzkin predecomposable sets
title_fullStr Motzkin predecomposable sets
title_full_unstemmed Motzkin predecomposable sets
title_sort Motzkin predecomposable sets
dc.creator.none.fl_str_mv Iusem, N.
Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
Todorov, Maxim Ivanov
author Iusem, N.
author_facet Iusem, N.
Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
Todorov, Maxim Ivanov
author_role author
author2 Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
Todorov, Maxim Ivanov
author2_role author
author
dc.subject.none.fl_str_mv Motzkin decomposable sets
Convex sets
Convex cones
topic Motzkin decomposable sets
Convex sets
Convex cones
description We introduce and study the family of sets in a finite dimensional Euclidean space which can be written as the Minkowski sum of a compact and convex set and a convex cone (not necessarily closed). We establish several properties of the class of such sets, called Motzkin predecomposable, some of which hold also for the class of Motzkin decomposable sets (i.e., those for which the convex cone in the decomposition is requested to be closed), while others are specific of the new family.
publishDate 2014
dc.date.none.fl_str_mv 2
2014-01-01
2014
2014-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/182699
https://dx.doi.org/urn:doi:10.1007/s10898-013-0097-3
url https://ddd.uab.cat/record/182699
https://dx.doi.org/urn:doi:10.1007/s10898-013-0097-3
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2011-29064-C03-01
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://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
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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