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Bornological Completion of Locally Convex Cones

عنوان مقاله: Bornological Completion of Locally Convex Cones
شناسه ملی مقاله: JR_SCMA-17-2_011
منتشر شده در شماره 2 دوره 17 فصل در سال 1399
مشخصات نویسندگان مقاله:

Davood Ayaseh - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
Asghar Ranjbari - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

خلاصه مقاله:
In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [۱]) 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.

کلمات کلیدی:
Locally convex cones, Bornological convergence, Bornological cones, Bornological completion

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1030122/