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    Invariant Means on ?-Dedekind complete totally ordered Riesz Spaces

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    Date
    2016
    Author
    Chailos, G.
    Aristidou, Michael
    Type
    Journal Article
    Peer-Reviewed
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    Abstract
    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_Spaces
    http://hdl.handle.net/11675/3028
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