Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 9, Number 4 (2018), 551-565.
Approximate amenability and contractibility of hypergroup algebras
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.
Ann. Funct. Anal., Volume 9, Number 4 (2018), 551-565.
Received: 16 October 2017
Accepted: 7 January 2018
First available in Project Euclid: 10 October 2018
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Laali, J.; Ramezani, R. Approximate amenability and contractibility of hypergroup algebras. Ann. Funct. Anal. 9 (2018), no. 4, 551--565. doi:10.1215/20088752-2018-0001. https://projecteuclid.org/euclid.afa/1539137305