A note on closedness of algebraic sum of sets (Q727882)
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scientific article; zbMATH DE number 6667555
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on closedness of algebraic sum of sets |
scientific article; zbMATH DE number 6667555 |
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A note on closedness of algebraic sum of sets (English)
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21 December 2016
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The author first proves some assertions providing a connection between the reflexivity of a Banach space and the closedness of the algebraic sum of its subsets. Then, he derives a kind of generalization of the known fact that the algebraic sum of a closed and a compact subset of a Hausdorff topological vector space is closed.
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closed convex set
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algebraic sum of sets
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