The integration theory of Banach space valued measures and the Tonelli- Fubini theorems. II: Pettis integration (Q2368025)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The integration theory of Banach space valued measures and the Tonelli- Fubini theorems. II: Pettis integration |
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The integration theory of Banach space valued measures and the Tonelli- Fubini theorems. II: Pettis integration (English)
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18 August 1993
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In this part of the paper we turn to the concepts of Gelfand and Pettis integrability and integration of scalar-valued functions with respect to a Banach space valued measure. The problem before us and our method for solving it have been outlined in Section 1 of Part I of this paper [same journal 73, 204-241 (1989; Zbl 0684.28002)].
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vector extensions of the Tonelli and Fubini theorems
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variations of a vector measure
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Gelfand integrability
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Pettis integrability
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sets with finite semi-variations
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