On weak compactness of bounded sets in Banach and locally convex spaces

  • P. I. Kogut
  • V. S. Mel'nik

Abstract

We investigate the compactness of one class of bounded subsets in Banach and locally convex spaces. We obtain a generalization of the Banach-Alaoglu theorem to a class of subsets that are not polars of convex balanced neighborhoods of zero.
Published
25.06.2000
How to Cite
KogutP. I., and Mel’nikV. S. “On Weak Compactness of Bounded Sets in Banach and Locally Convex Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 52, no. 6, June 2000, pp. 731-9, https://umj.imath.kiev.ua/index.php/umj/article/view/4467.
Section
Research articles