Asymptotic structure of Banach spaces and Riemann integration (Q930108)
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scientific article; zbMATH DE number 5291258
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic structure of Banach spaces and Riemann integration |
scientific article; zbMATH DE number 5291258 |
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Asymptotic structure of Banach spaces and Riemann integration (English)
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20 June 2008
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A real Banach space \(X\) is said to have the Lebesgue property if any Riemann integrable function from \([0,1]\) into \(X\) is continuous almost everywhere on \([0,1]\). In this paper, the author obtains a partial characterization of the Lebesgue property, showing that it has connections with the asymptotic geometry of the space involved.
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