Characterizations of reflexivity

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Characterizations of amenable hypergroups

Let $K$ be a locally compact hypergroup with left Haar measure and let $L^1(K)$ be the complex Lebesgue space associated with it. Let $L^infty(K)$ be the dual of $L^1(K)$. The purpose of this paper is to present some necessary and sufficient conditions for $L^infty(K)^*$ to have a topologically left invariant mean. Some characterizations of amenable hypergroups are given.

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ژورنال

عنوان ژورنال: Studia Mathematica

سال: 1964

ISSN: 0039-3223,1730-6337

DOI: 10.4064/sm-23-3-205-216