Approximate Amenability of Segal algebras

Details Approximate Amenability of Segal algebras Approximate Amenability of Segal algebras

2012-03-19

arxiv.org/abs/1203.4285v1

Mathematics

Functional Analysis

Scientific paper

In this paper we first show that for a locally compact amenable group $G$, every proper abstract Segal algebra of the Fourier algebra on $G$ is not approximately amenable; consequently, every proper Segal algebra on a locally compact abelian group is not approximately amenable. Then using the hypergroup generated by the dual of a compact group, it is shown that all proper Segal algebras of a class of compact groups including the $2\times 2$ special unitary group, SU(2), are not approximately amenable.

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