Riemann integrability versus weak continuity (Q252904)
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scientific article; zbMATH DE number 6549767
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Riemann integrability versus weak continuity |
scientific article; zbMATH DE number 6549767 |
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Riemann integrability versus weak continuity (English)
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4 March 2016
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A Banach space \(X\) is said to have the weak Lebesgue property (WLP) if every Riemann integrable function \(f:[0,1]\rightarrow X\) is weakly continuous a.e. The article contains several criteria for \(X\) satisfying WLP. Moreover, for some classical Banach spaces it is studied whether they have WLP or not.
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Riemann integral
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weak Lebesgue property
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Banach space
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