Multiplicative properties of Jensen measures
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- by Takasi Itô and Bert M. Schreiber
- Proc. Amer. Math. Soc. 26 (1970), 305-306
- DOI: https://doi.org/10.1090/S0002-9939-1970-0262833-5
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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.References
- Errett Bishop, Holomorphic completions, analytic continuation, and the interpolation of semi-norms, Ann. of Math. (2) 78 (1963), 468–500. MR 155016, DOI 10.2307/1970537
- Andrew Browder, Introduction to function algebras, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0246125
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- 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