Let be a hypergroup. The purpose of this article is to study the notions of amenability of the hypergroup algebras , , and . Among other results, we obtain a characterization of approximate amenability of . Moreover, we introduce the Banach space and prove that the dual of a Banach hypergroup algebra can be identified with . In particular, is an -algebra. By using this fact, we give necessary and sufficient conditions for to be left-amenable.
"Approximate amenability and contractibility of hypergroup algebras." Ann. Funct. Anal. 9 (4) 551 - 565, November 2018. https://doi.org/10.1215/20088752-2018-0001