Title of article :
Characterizations of amenable hypergroups
Author/Authors :
Ghaffari, Ali Department of Mathematics - Semnan University - Semnan, Islamic Republic of Iran , Sahabib, Mohammad Bagher Payame Noor University of Urmia - Urmia, Islamic Republic of Iran
Abstract :
Let K be a locally compact hypergroup with left Haar measure
and let L1(K) be the complex Lebesgue space associated with it.
Let L1(K) be the dual of L1(K). The purpose of this paper is to
present some necessary and sucient conditions for L1(K) to
have a topologically left invariant mean. Some characterizations
of amenable hypergroups are given.
Keywords :
Hypergroup algebras , Banach algebras , Amenability
Journal title :
Astroparticle Physics
