Invariant Means on ?-Dedekind complete totally ordered Riesz Spaces

dc.contributor.authorChailos, G.
dc.contributor.authorAristidou, Michael
dc.description.abstractIn this paper we consider the set B of all countable bounded subsets of V, where V is a totally ordered σ-Dedekind complete Riesz space equipped with the order topology. We show that on B there exists a function that in a sense behaves as an invariant " mean ". To do this, we construct a set of " approximately invariant means " and we show, using the Ultrafilter Theorem, that this set has a cluster point. This cluster point is the " invariant mean " on B that we are looking for. MSC: 47B37; 47B60; 54D30; 06B30
dc.relation.journalTheoretical Mathematics and Applications 6(3
dc.titleInvariant Means on ?-Dedekind complete totally ordered Riesz Spaces
dc.typeJournal Article