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Weakly almost periodic functions on hypergroups

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Abstract

The results about weakly almost periodic functions on topological groups can only partly be transferred to the case of hypergroups. The main achievements of this paper are the construction of a bounded continuous, but not w.a.p. function (which is in this generality even new for groups) and the result that WAP (K) is not an algebra in general. Finally we compare “classical” w.a.p. functions on [FIA] − B -groups with those on the orbit spaceG B.

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  1. Institut für Mathematik, Technische Universität München, Arcisstrasse 21, D-8000, München, Germany

    Stefan Wolfenstetter

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  1. Stefan Wolfenstetter
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Wolfenstetter, S. Weakly almost periodic functions on hypergroups. Monatshefte für Mathematik 96, 67–79 (1983). https://doi.org/10.1007/BF01298935

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  • DOI: https://doi.org/10.1007/BF01298935

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