Weak amenability of Segal algebras

Dales, H.; Pandey, S.

doi:10.1090/S0002-9939-99-05139-4

Weak amenability of Segal algebras
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by H. G. Dales and S. S. Pandey PDF

Proc. Amer. Math. Soc. 128 (2000), 1419-1425 Request permission

Abstract:

Let $G$ be a locally compact abelian group, and let $p \in [1,\infty )$. We show that the Segal algebra $S_p(G)$ is always weakly amenable, but that it is amenable only if $G$ is discrete.

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