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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A note on enveloped measures


Author: S. J. Sidney
Journal: Proc. Amer. Math. Soc. 37 (1973), 167-168
MSC: Primary 46J10
DOI: https://doi.org/10.1090/S0002-9939-1973-0310644-7
MathSciNet review: 0310644
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Abstract: There exists a uniform algebra $ \mathfrak{A}$ and a multiplicative linear functional $ \Phi $ on $ \mathfrak{A}$ which has an uncountable family of enveloped representing measures, no one of which is boundedly absolutely continuous with respect to any other.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0310644-7
Keywords: Enveloped measure, uniform algebra, multiplicative linear functional, Blaschke product, core measure
Article copyright: © Copyright 1973 American Mathematical Society