Author = Sahabi, Mohammad Bagher
Number of Articles: 1
Characterizations of amenable hypergroups
Volume 4, Issue 1, 2017, Pages 1-9
https://doi.org/10.22072/wala.2017.23365
Ali Ghaffari, Mohammad Bagher Sahabi
Abstract 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.