Remarks on Denjoy-Dunford and Denjoy-Pettis integrals (Q2706492)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on Denjoy-Dunford and Denjoy-Pettis integrals |
scientific article |
Statements
19 March 2001
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Denjoy-Dunford integral
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Denjoy-Pettis integral
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Banach-valued functions
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Bochner integral
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Orlicz space
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Remarks on Denjoy-Dunford and Denjoy-Pettis integrals (English)
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A necessary and sufficient condition for Bochner integrability of functions valued in Orlicz spaces is stated. A real-valued representation of the Bochner integral of a function with values in an Orlicz space is also given.
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