A Birkhoff type integral and the Bourgain property in a locally convex space (Q2464610)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Birkhoff type integral and the Bourgain property in a locally convex space |
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A Birkhoff type integral and the Bourgain property in a locally convex space (English)
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2 January 2008
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An integral, called the \(Bk\)-integral, for functions taking values in a locally convex space is defined. Properties of \(Bk\)-integrable functions are considered and the relations with other integrals are studied. Moreover the \(Bk\)-integrability of bounded functions is compared with the Bourgain property.
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Pettis integral
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McShane integral
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Birkhoff integral
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locally convex spaces
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