Lexicographic cones and the ordered projective tensor product
Functional Analysis
2018-12-13 v1
Abstract
We introduce lexicographic cones, a method of assigning an ordered vector space to a poset , 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.
Cite
@article{arxiv.1812.04830,
title = {Lexicographic cones and the ordered projective tensor product},
author = {Marten Wortel},
journal= {arXiv preprint arXiv:1812.04830},
year = {2018}
}
Comments
8 pages