Group Invariant Bounded Linear Functions on Dedekind Complete Totally Ordered Riesz Spaces
General Mathematics
2017-01-24 v1
Abstract
In this paper we consider the set of all bounded subsets of totally ordered Dedekind complete Riesz spaces, equipped with the order topology. We show the existence of bounded linear functions on this set, that are invariant under group actions of the symmetric group of it.
Keywords
Cite
@article{arxiv.1701.06456,
title = {Group Invariant Bounded Linear Functions on Dedekind Complete Totally Ordered Riesz Spaces},
author = {George Chailos},
journal= {arXiv preprint arXiv:1701.06456},
year = {2017}
}
Comments
9 pages