On sufficient conditions for the sum of two weak \({}^ *\) closed convex sets to be weak \({}^ *\) closed (Q1084294)
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scientific article; zbMATH DE number 3977679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On sufficient conditions for the sum of two weak \({}^ *\) closed convex sets to be weak \({}^ *\) closed |
scientific article; zbMATH DE number 3977679 |
Statements
On sufficient conditions for the sum of two weak \({}^ *\) closed convex sets to be weak \({}^ *\) closed (English)
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1987
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We give a sufficient condition for the sum of two weak * closed convex subsets of a strictly hypercomplete locally convex Hausdorff topological vector space to be weak * closed. Our sufficient condition relates to the mutual position of the two sets and our result may be seen as a simple consequence of the Alaoglu-Bourbaki theorem.
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strictly hypercomplete locally convex Hausdorff topological vector space
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Alaoglu-Bourbaki theorem
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