Vali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364120170801Characterizations of amenable hypergroups192336510.22072/wala.2017.23365ENAliGhaffariSemnan UniversityMohammad BagherSahabiPayame Noor UniversityJournal Article20160919Let $K$ 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<br /> characterizations of amenable hypergroups are given.http://wala.vru.ac.ir/article_23365_e3e911df58170eb14ba5a4a8f162ef0c.pdf