The Šilov boundary of $M_{0}(G)$
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- by William Moran PDF
- Trans. Amer. Math. Soc. 179 (1973), 455-464 Request permission
Abstract:
Let G be a locally compact abelian group and let ${M_0}(G)$ be the convolution algebra consisting of those Radon measures on G whose Fourier-Stieltjes transforms vanish at infinity. It is shown that the Šilov boundary of ${M_0}(G)$ is a proper subset of the maximal ideal space of ${M_0}(G)$. The measures constructed to prove this theorem are also used to obtain a stronger result for the full measure algebra $M(G)$.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 179 (1973), 455-464
- MSC: Primary 43A10
- DOI: https://doi.org/10.1090/S0002-9947-1973-0318779-4
- MathSciNet review: 0318779