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

Mixtures of nonatomic measures


Authors: K. P. S. Bhaskara Rao and M. Bhaskara Rao
Journal: Proc. Amer. Math. Soc. 33 (1972), 507-510
MSC: Primary 28A40; Secondary 28A35
MathSciNet review: 0293048
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Abstract: In this paper, we answer the following question: Is a mixture of nonatomic measures nonatomic? The answer turns out to be no, in general. Four sufficient conditions are given under which mixtures become nonatomic.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0293048-4
PII: S 0002-9939(1972)0293048-4
Keywords: Atom of a $ \sigma $-algebra, atom of a measure, nonatomic measure, transition probability, mixture, separable and Lindelöf topological spaces
Article copyright: © Copyright 1972 American Mathematical Society