A class of Riesz sets

Li, Daniel

doi:10.1090/S0002-9939-1993-1176071-0

A class of Riesz sets
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Proc. Amer. Math. Soc. 119 (1993), 889-892 Request permission

Abstract:

Let $G$ be a metrizable compact abelian group. A subset $\Lambda$ in the dual group is said to be ergodic if every $f \in {L^\infty }(G)$ whose spectrum lies in a translate of $\Lambda$ has a unique invariant mean. It is shown that such a set is a Riesz set.

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Elements ergodiques et totalement ergodiques dans

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