A uniqueness condition for finite measures
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- by J. E. Nymann
- Proc. Amer. Math. Soc. 108 (1990), 913-919
- DOI: https://doi.org/10.1090/S0002-9939-1990-1000164-9
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Abstract:
Let $\mu$ and $\mu ’$ be two finite measures on the same measurable space which have the property: $\mu (A) = \mu (B)$ implies that $\mu ’(A) = \mu ’(B)$. If the range of $\mu$ is an interval, then there is a constant $\alpha$ such that $\mu ’ = \alpha \mu$. This extends earlier results of Leth and Malitz on purely atomic measures.References
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Bibliographic Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 913-919
- MSC: Primary 28A10; Secondary 60A10
- DOI: https://doi.org/10.1090/S0002-9939-1990-1000164-9
- MathSciNet review: 1000164