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Measures vanishing off the symmetric maximal ideals of M(G)†
Published online by Cambridge University Press: 24 October 2008
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.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 1 , January 1974 , pp. 51 - 61
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- Copyright © Cambridge Philosophical Society 1974
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