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Reiter’s condition for amenable hypergroups

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Abstract

We study modifications of Reiter’s condition (P r ) which are generated by certain power and root procedures. In that way we can illustrate the difference between the (P 1)- and the (P 2)-property. Furthermore we present equivalent conditions to (P 2). In order to have examples we discuss the results for polynomial hypergroups.

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Authors and Affiliations

  1. Helmholtz National Research Center for Environment and Health, Institute of Biomathematics and Biometry, Ingolstädter Landstraße 1, 85764, Neuherberg, Germany

    R. Lasser & M. Skantharajah

  2. Centre of Mathematics, Munich University of Technology, 85748, Garching, Germany

    R. Lasser & M. Skantharajah

Authors
  1. R. Lasser
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  2. M. Skantharajah
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Correspondence to R. Lasser.

Additional information

Communicated by K. Gröchenig.

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Lasser, R., Skantharajah, M. Reiter’s condition for amenable hypergroups. Monatsh Math 163, 327–338 (2011). https://doi.org/10.1007/s00605-010-0206-z

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  • DOI: https://doi.org/10.1007/s00605-010-0206-z

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