WEAK AMENABILITY OF CONVOLUTION BANACH ALGEBRAS ON COMPACT HYPERGROUPS

Title & Authors
WEAK AMENABILITY OF CONVOLUTION BANACH ALGEBRAS ON COMPACT HYPERGROUPS
Samea, Hojjatollah;

Abstract
In this paper we find necessary and sufficient conditions for weak amenability of the convolution Banach algebras A(K) and $\small{L^2(K)}$ for a compact hypergroup K, together with their applications to convolution Banach algebras $\small{L^p(K)}$ ($\small{2\;{\leq}\;p\;}$<$\small{\;{\infty}}$). 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;
Language
English
Cited by
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