On sufficient conditions for the sum of two weak \({}^ *\) closed convex sets to be weak \({}^ *\) closed
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.
strictly hypercomplete locally convex Hausdorff topological vector space
scientific article; zbMATH DE number 3977679