On the De Giorgi-Letta integral with respect to means with values in Riesz spaces (Q1374571)
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scientific article; zbMATH DE number 1095878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the De Giorgi-Letta integral with respect to means with values in Riesz spaces |
scientific article; zbMATH DE number 1095878 |
Statements
On the De Giorgi-Letta integral with respect to means with values in Riesz spaces (English)
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10 December 1997
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The monotone integral defined by Choquet in 1953 and developed by De Gorgi-Letta and others is extended to the integration of scalar functions with respect to Riesz space valued means. A necessary and sufficient condition to obtain a Radon-Nikodým density for two means is given.
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monotone integral
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convergence theorems
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Radon-Nikodým theorem
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