Group Invariant Bounded Linear Functions on Dedekind Complete Totally Ordered Riesz Spaces
arXiv:1701.06456
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.
arXiv comment9 pages