Lexicographic cones and the ordered projective tensor product
| dc.contributor.author | Wortel, Marten | |
| dc.contributor.email | marten.wortel@up.ac.za | en_ZA |
| dc.date.accessioned | 2020-02-26T05:10:51Z | |
| dc.date.issued | 2019-08 | |
| dc.description.abstract | We introduce lexicographic cones, a method of assigning an ordered vector space Lex(S) to a poset S, generalising the standard lexicographic cone. These lexicographic cones are then used to prove that the projective tensor cone of two arbitrary cones is a cone, and to find a new characterisation of finite-dimensional vector lattices. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.embargo | 2020-08-10 | |
| dc.description.librarian | hj2020 | en_ZA |
| dc.description.uri | https://www.springer.com/series/4961 | en_ZA |
| dc.identifier.citation | Wortel M. (2019) Lexicographic Cones and the Ordered Projective Tensor Product. In: Buskes G. et al. (eds) Positivity and Noncommutative Analysis. Trends in Mathematics. Birkhäuser, Cham. | en_ZA |
| dc.identifier.issn | 2297-0215 | |
| dc.identifier.other | 10.1007/978-3-030-10850-2_30 | |
| dc.identifier.uri | http://hdl.handle.net/2263/73550 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Springer | en_ZA |
| dc.rights | © Springer Nature Switzerland AG 2019. The original publication is available at : https://www.springer.com/series/4961. | en_ZA |
| dc.subject | Lexicographic cone | en_ZA |
| dc.subject | Finite-dimensional vector lattices | en_ZA |
| dc.subject | Ordered projective tensor product | en_ZA |
| dc.title | Lexicographic cones and the ordered projective tensor product | en_ZA |
| dc.type | Postprint Article | en_ZA |