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## Weak amenability of Segal algebras

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Published
Journal publication date 2000 Proceedings of the American Mathematical Society 5 128 7 1419-1425 Published English

### 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.