Invariant Means on ?-Dedekind complete totally ordered Riesz Spaces
Date
2016Author
Chailos, G.
Aristidou, Michael
Type
Journal Article
Peer-Reviewed
Metadata
Show full item recordAbstract
In 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
URI
https://www.researchgate.net/publication/306237277_Invariant_Means_on_Dedekind_complete_totally_ordered_Riesz_Spaceshttp://hdl.handle.net/11675/3028