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Bornological Completion of Locally Convex Cones

Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 2)

Publication Date:

Authors : ; ;

Page : 173-183

Keywords : Locally convex cones; Bornological convergence; Bornological cones; Bornological completion;

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Abstract

In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [1]) and then we introduce the concept of bornological completion for locally convex cones. Also, we prove that the completion of a bornological locally convex cone is bornological. We illustrate the main result by an example.

Last modified: 2020-06-16 17:03:39