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The product of pre-Radon measures

Published online by Cambridge University Press:  17 April 2009

Susumu Okada
Affiliation:
School of Mathematical Sciences, Flinders University of South Australia, Bedford Park, South Australia 5042, Australia.
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Abstract

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Let μ and ν be non-σ-finite pre-Radon measures on topological spaces X and Y respectively. Then there exists a unique pre-Radon measure λ on the product space X × Y which satisfies λ(A × B) = μ(A)ν(B) for all Borel sets A in X and B in Y such that μ(A) < ∞ and ν(B) < ∞.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1982

References

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[4]Fremlin, D.H., “Quasi-Radon measure spaces”, unpublished manuscript.Google Scholar