Remark on the Lyapunov theorem on vector measure (Q1180103)
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scientific article; zbMATH DE number 27068
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remark on the Lyapunov theorem on vector measure |
scientific article; zbMATH DE number 27068 |
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Remark on the Lyapunov theorem on vector measure (English)
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27 June 1992
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The paper gives a quantitative characterization of the range set for vector measures with values in a Banach space. The degree of non-atomness has been defined and used to investigate the extensions of the Lyapunov theorem on convexity and closedness of the range of vector measures with values in infinite dimensional spaces.
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range set for vector measures with values in a Banach space
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degree of non-atomness
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Lyapunov theorem on convexity and closedness of the range of vector measures with values in infinite dimensional spaces
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