Remarks on set valued integrals of multifunctions with non-empty bounded closed and convex values (Q2733920)
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scientific article; zbMATH DE number 1633185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on set valued integrals of multifunctions with non-empty bounded closed and convex values |
scientific article; zbMATH DE number 1633185 |
Statements
12 August 2001
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set-valued functions
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Aumann integral
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Bochner integral
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multifunctions
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Radon-Nikodým property
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Remarks on set valued integrals of multifunctions with non-empty bounded closed and convex values (English)
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The author compares the Aumann integral and the Bochner integral for multifunctions whose values are non-empty convex closed bounded subsets of a separable Banach space \(X\). The main result says that these two integrals coincide for Bochner integrable multifunctions if the topological dual \(X^*\) of \(X\) has the Radon-Nikodým property.
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