Abstract
In Theorem 1, we shall discuss some properties of semifinite measure, that is, the measure μ on a ring R of sets with the property that, for every E in R, μ(E) is equal to the least upper bound of μ(F) where F runs over sets such that F is in R (F ⊂ E) and μ(F) < ∞. Let σ(R) be the σ-ring generated by R. To prove Theorem 2 we shall use the uniqueness theorem in Luther's paper [2], which is stated as a lemma in this paper.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. Deng–Yuan Huang: Life and Works;Communications in Statistics - Theory and Methods;2009-05-06
2. Extending a measure from a ring to a sigma-ring;Proceedings of the American Mathematical Society;1980