Approximation of Pettis integrable multifunctions with values in arbitrary Banach spaces (Q2850734)
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scientific article; zbMATH DE number 6212970
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of Pettis integrable multifunctions with values in arbitrary Banach spaces |
scientific article; zbMATH DE number 6212970 |
Statements
30 September 2013
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integrable multifunction
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approximation selection
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multivalued Pettis integral
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multimeasure
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strong law of large numbers
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Approximation of Pettis integrable multifunctions with values in arbitrary Banach spaces (English)
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Pettis (and also Gelfand and Dunford) integrable multifunctions with bounded, closed and convex values in non-separable Banach spaces, defined on a complete probability space, are exhaustively investigated. Possible approximations by a (martingale) sequence of simple multiplication in various metrics are characterized. Then a multivalued version of the strong law of large numbers is treated.
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