%0 Journal Article
%T Characterizations of amenable hypergroups
%J Wavelet and Linear Algebra
%I Vali-e-Asr university of Rafsanjan
%Z 2383-1936
%A Ghaffari, Ali
%A Sahabi, Mohammad Bagher
%D 2017
%\ 08/01/2017
%V 4
%N 1
%P 1-9
%! Characterizations of amenable hypergroups
%K Amenability
%K Banach algebras
%K Hypergroup algebras
%K Left invariant mean
%K Topologically left invariant mean
%R 10.22072/wala.2017.23365
%X 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.
%U http://wala.vru.ac.ir/article_23365_e3e911df58170eb14ba5a4a8f162ef0c.pdf