Bull. Korean Math. Soc. 2010; 47(2): 307-317
Printed March 1, 2010
https://doi.org/10.4134/BKMS.2010.47.2.307
Copyright © The Korean Mathematical Society.
Hojjatollah Samea
Bu-Ali Sina University
In this paper we find necessary and sufficient conditions for weak amenability of the convolution Banach algebras $A(K)$ and $L^2(K)$ for a compact hypergroup $K$, together with their applications to convolution Banach algebras $L^p(K)$ $(2\leq p<\infty)$. It will further be shown that the convolution Banach algebra $A(G)$ for a compact group $G$ is weakly amenable if and only if $G$ has a closed abelian subgroup of finite index.
Keywords: hypergroup, weak amenability, convolution Banach algebras
MSC numbers: 43A20
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