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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

An elementary proof of a result on $ \Lambda(p)$ sets


Author: Kathryn E. Hare
Journal: Proc. Amer. Math. Soc. 104 (1988), 829-834
MSC: Primary 43A46
MathSciNet review: 964865
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Abstract: We give an elementary proof of the fact that a subset of the dual of a compact abelian group which is a $ \Lambda (p)$ set for some $ 1 \leq p < 2$ is a $ \Lambda (p + \varepsilon )$ set for some $ \varepsilon > 0$, and extend this result to $ \Lambda (p)$ sets for $ 0 < p < 1$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0964865-1
PII: S 0002-9939(1988)0964865-1
Article copyright: © Copyright 1988 American Mathematical Society