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Existence of nonatomic charges

Part of: Classical measure theory

Published online by Cambridge University Press:  09 April 2009

K. P. S. Bhaskara Rao  and
M. Bhaskara Rao
K. P. S. Bhaskara Rao
Affiliation:
Mathematical Statistics Indian Statistical InstituteCalcuttaIndia
M. Bhaskara Rao
Affiliation:
Department of Probability and Statistics The University of SheffieldSheffieldU.K.
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Abstract

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A complete characterization of Boolean algebras which admit nonatomic charges (i.e. finitely additive measures) is obtained. This also gives rise to a characterization of superatomic Boolean algebras. We also consider the problem of denseness of the set of all nonatomic charges in the space of all charges on a given Boolean algebra, equipped with a suitable topology.

MSC classification

Secondary: 28A60: Measures on Boolean rings, measure algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 25 , Issue 1 , February 1978 , pp. 1 - 6
Copyright
Copyright © Australian Mathematical Society 1978

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