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Measures vanishing off the symmetric maximal ideals of M(G)†

Published online by Cambridge University Press:  24 October 2008

Colin C. Graham
Colin C. Graham
Affiliation:
Northwestern University, Illinois 60201
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Abstract

We show that if μ is a measure on the LCA group G whose Gelfand transform vanishes off the set Σ of symmetric maximal ideals, then μ µ M0(G), that is, then the Fourier-Steiltjes transform of μ vanishes at infinity. This result is then used to show μ µ L1(G)½.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 1 , January 1974 , pp. 51 - 61
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

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