TY - JOUR
ID - 23365
TI - Characterizations of amenable hypergroups
JO - Wavelet and Linear Algebra
JA - WALA
LA - en
SN - 2383-1936
AU - Ghaffari, Ali
AU - Sahabi, Mohammad Bagher
AD - Semnan University
AD - Payame Noor University
Y1 - 2017
PY - 2017
VL - 4
IS - 1
SP - 1
EP - 9
KW - Amenability
KW - Banach algebras
KW - Hypergroup algebras
KW - Left invariant mean
KW - Topologically left invariant mean
DO - 10.22072/wala.2017.23365
N2 - 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.
UR - http://wala.vru.ac.ir/article_23365.html
L1 - http://wala.vru.ac.ir/article_23365_e3e911df58170eb14ba5a4a8f162ef0c.pdf
ER -