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...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2016 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositório: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglês |
| OAI Identifier: | oai:riunet.upv.es:10251/150312 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/150312 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Asymmetric norm Asymmetric lattice norm Compactness Convex body Convex sets MATEMATICA APLICADA |
| Resumo: | [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. |
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