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...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2016 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/150312 |
| Online Access: | https://riunet.upv.es/handle/10251/150312 |
| Access Level: | Open access |
| Keyword: | Asymmetric norm Asymmetric lattice norm Compactness Convex body Convex sets MATEMATICA APLICADA |
| Summary: | [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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