Amenability and uniformly continuous functionals on the algebras 𝐴_{𝑝}(𝐺) for discrete groups

Xu, Guangwu

doi:10.1090/S0002-9939-1995-1277140-9

Amenability and uniformly continuous functionals on the algebras $A_ p(G)$ for discrete groups
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Proc. Amer. Math. Soc. 123 (1995), 3425-3429 Request permission

Abstract:

In this paper, it is shown that for every discrete group G and $1 < p < \infty ,{A_p}(G) \cdot P{M_p}(G)$ is closed in $P{M_p}(G)$ if and only if G is amenable.

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