Weak amenability of convolution Banach algebras on compact hypergroups
Bull. Korean Math. Soc. 2010 Vol. 47, No. 2, 307-317
https://doi.org/10.4134/BKMS.2010.47.2.307
Printed March 1, 2010
Hojjatollah Samea
Bu-Ali Sina University
Abstract : 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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