On sufficient conditions for the sum of two weak \({}^ *\) closed convex sets to be weak \({}^ *\) closed
type: Item
instance of: scholarly article
title: On sufficient conditions for the sum of two weak \({}^ *\) closed convex sets to be weak \({}^ *\) closed
zbMATH Open document ID: 0605.46014
DOI: 10.1007/BF01195107
author: M. Ali Khan
author: Rajiv Vohra
published in: Archiv der Mathematik
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 46A55
zbMATH DE Number: 3977679
zbMATH Keywords: strictly hypercomplete locally convex Hausdorff topological vector space
zbMATH Keywords: Alaoglu-Bourbaki theorem
MaRDI profile type: Publication
cites work: Sur la séparation des ensembles convexes
cites work: A generalization of the Alaoglu-Bourbaki theorem and its applications
cites work: The Duality of Pairs of Wedges
cites work: Subspaces, Subalgebras and Ideals of Codimension One in Complex Algebras
description: scientific article; zbMATH DE number 3977679