Barrelled spaces with a B-complete completion |
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| Authors: | Marc De Wilde Bella Tsirulnikov |
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| Institution: | (1) Institut de Mathématique, Université de Liège, 4000 Liege, Belgium;(2) Department of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Israël |
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| Abstract: | Let (E,  ) be a barrelled locally convex space. The aim of this paper is to describe the barrelled topologies on E weaker than . When the completion Ê of (E, ) is B-complete, various properties of the barrelled topologies weaker than are proved. Some examples are given to illustrate the possible situations. |
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