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Proceedings of the American Mathematical Society

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

 

 

Multiplicative properties of Jensen measures


Authors: Takasi Itô and Bert M. Schreiber
Journal: Proc. Amer. Math. Soc. 26 (1970), 305-306
MSC: Primary 46.55
DOI: https://doi.org/10.1090/S0002-9939-1970-0262833-5
MathSciNet review: 0262833
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Abstract: It is shown that if $ \psi $ is a linear functional on a function algebra with $ \psi (1) = 1$, and if $ \psi $ satisfies the Jensen inequality with respect to some finite nonnegative measure, then $ \psi $ is multiplicative.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0262833-5
Keywords: Function algebra, Jensen inequality, multiplicative linear functional
Article copyright: © Copyright 1970 American Mathematical Society