On measure spaces where Egoroff's theorem holds (Q1898986)
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scientific article; zbMATH DE number 801036
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On measure spaces where Egoroff's theorem holds |
scientific article; zbMATH DE number 801036 |
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On measure spaces where Egoroff's theorem holds (English)
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9 November 1995
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It is proved that the Egoroff's theorem for sequences of measurable functions holds if and only if the underlying measure space is a union of a set of finite measure and finitely many atoms of infinite measure. Some consequences about the interaction between different types of convergence are obtained.
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convergence almost everywhere
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almost uniform convergence
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Egoroff's theorem
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measurable functions
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measure space
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0.8323839902877808
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0.832360029220581
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0.8238067626953125
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