Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Convolution powers of singular-symmetric measures. II
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by Keiji Izuchi
Proc. Amer. Math. Soc. 65 (1977), 313-317
DOI: https://doi.org/10.1090/S0002-9939-1977-0462441-3

Abstract:

Let G be an infinite compact abelian group such that its dual group contains an infinite independent subset. $\mathfrak {L}(G)$ denotes the sum of all radicals of group algebras contained in the measure algebra on G. Then, for a positive integer k, there is a measure $\mu$ on G such that ${\mu ^n}$ is singular-symmetric for $1 \leqslant n \leqslant k$ and ${\mu ^n} \in \mathfrak {L}(G)$ for $n > k$.
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Bibliographic Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 65 (1977), 313-317
  • MSC: Primary 43A05
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0462441-3
  • MathSciNet review: 462441