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November 2018 Approximate amenability and contractibility of hypergroup algebras
J. Laali, R. Ramezani
Ann. Funct. Anal. 9(4): 551-565 (November 2018). DOI: 10.1215/20088752-2018-0001

Abstract

Let K be a hypergroup. The purpose of this article is to study the notions of amenability of the hypergroup algebras L(K), M(K), and L(K). Among other results, we obtain a characterization of approximate amenability of L(K). Moreover, we introduce the Banach space L(K,L(K)) and prove that the dual of a Banach hypergroup algebra L(K) can be identified with L(K,L(K)). In particular, L(K) is an F-algebra. By using this fact, we give necessary and sufficient conditions for K to be left-amenable.

Citation

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J. Laali. R. Ramezani. "Approximate amenability and contractibility of hypergroup algebras." Ann. Funct. Anal. 9 (4) 551 - 565, November 2018. https://doi.org/10.1215/20088752-2018-0001

Information

Received: 16 October 2017; Accepted: 7 January 2018; Published: November 2018
First available in Project Euclid: 10 October 2018

zbMATH: 07002091
MathSciNet: MR3871914
Digital Object Identifier: 10.1215/20088752-2018-0001

Subjects:
Primary: 43A62
Secondary: ‎43A07‎, 46K05

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.9 • No. 4 • November 2018
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