Finitely additive extensions of countably additive measures (Q1342749)
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scientific article; zbMATH DE number 711313
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finitely additive extensions of countably additive measures |
scientific article; zbMATH DE number 711313 |
Statements
Finitely additive extensions of countably additive measures (English)
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6 February 1995
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Let \({\mathcal A}\) be an algebra of subsets of a set \(X\) and \(\Sigma\) be the \(\sigma\)-algebra generated by \({\mathcal A}\). Examples are given of a positive \(\sigma\)-additive measure on \({\mathcal A}\) which has a finitely additive, non \(\sigma\)-additive extension on \(\Sigma\).
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finitely additive extensions
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countably additive measures
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