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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Lebesgue measure is a representing measure

Author: S. J. Sidney
Journal: Proc. Amer. Math. Soc. 46 (1974), 214-216
MSC: Primary 46J10
MathSciNet review: 0350428
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Abstract: Lebesgue measure on the unit interval $ I$ is multiplicative on some maximal Dirichlet algebra on $ I$. Related results are obtained.

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PII: S 0002-9939(1974)0350428-8
Keywords: Representing measure, uniform algebra, multiplicative, Dirichlet algebra, Gleason part, peak point, Jensen measure
Article copyright: © Copyright 1974 American Mathematical Society