On a-amenability of commutative hypergroups

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5 Scopus citations

Abstract

We study the concept of a-amenability of commutative hypergroups K. We establish several characterizations of α-amenability by combining results of Bloom, Heyer, and Filbir where we add the Glicksberg-Reiter property. In addition, as examples compact hypergroups and discrete polynomial hypergroups on Formula Presented are discussed.

Original languageEnglish
Title of host publicationInfinite Dimensional Harmonic Analysis IV
Subtitle of host publicationOn the Interplay Between Representation Theory, Random Matrices, Special Functions, and Probability
PublisherWorld Scientific Publishing Co.
Pages193-204
Number of pages12
ISBN (Electronic)9789812832825
ISBN (Print)9812832815, 9789812832818
DOIs
StatePublished - 1 Jan 2008

Keywords

  • A-mean
  • Amenable
  • Character
  • Hypergroups

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