A class of Riesz sets-Reference-Cited by-同舟云学术

A class of Riesz sets

Published:1993 Issue:3 Volume:119 Page:889-892
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Li Daniel

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-119-03/S0002-9939-1993-1176071-0/S0002-9939-1993-1176071-0.pdf

Reference9 articles.

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4. Propriétés géométriques des sous-espaces invariants par translation de 𝐿¹(𝐺) et 𝐶(𝐺);Lust-Piquard, F.,1978

5. \bysame, Elements ergodiques et totalement ergodiques dans 𝐿^{∞}(𝐺), Studia Math. 69 (1981), 191-225.

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