Weakly Motzkin Predecomposable Sets
We introduce and study the class of weakly Motzkin predecomposable sets, which are those sets in R n that can be expressed as the Minkowski sum of a bounded convex set and a convex cone, none of them being necessarily closed. This class contains that of Motzkin predecomposable sets, for which the bo...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:197034 |
| Acceso en línea: | https://ddd.uab.cat/record/197034 https://dx.doi.org/urn:doi:10.1007/s11228-017-0420-0 |
| Access Level: | acceso abierto |
| Palabra clave: | Motzkin decomposable sets Convex sets Convex cones |
| Sumario: | We introduce and study the class of weakly Motzkin predecomposable sets, which are those sets in R n that can be expressed as the Minkowski sum of a bounded convex set and a convex cone, none of them being necessarily closed. This class contains that of Motzkin predecomposable sets, for which the bounded components are compact, which in turn contains the class of Motzkin decomposable sets, for which the bounded components are compact and the conic components are closed. |
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