$M_{0} (G)$ is not a prime $L$-ideal of measures
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- by Colin C. Graham
- Proc. Amer. Math. Soc. 27 (1971), 557-562
- DOI: https://doi.org/10.1090/S0002-9939-1971-0278007-9
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Abstract:
A technique of Hewitt and Zuckerman is used to show that if $G$ is any locally compact abelian group with dual $\Gamma$, then there exist nonzero positive regular Borel measures $\mu ,v$ on $G$, each one of which is mutually singular with each measure $\omega$ whose Fourier-Stieltjes transform vanishes at infinity on $\Gamma$ and such that the Fourier-Stieltjes transform of the convolution $\mu \ast v$ vanishes at infinity on $\Gamma$.References
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Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 557-562
- MSC: Primary 42.56
- DOI: https://doi.org/10.1090/S0002-9939-1971-0278007-9
- MathSciNet review: 0278007