Bornological Convergence in Locally Convex Cones

被引：0

作者：

Davood Ayaseh

Asghar Ranjbari

机构：

[1] University of Tabriz,Department of Pure Mathematics, Faculty of Mathematical Sciences

来源：

Mediterranean Journal of Mathematics | 2016年 / 13卷

关键词：

46A03; 46A08; 46A17; Locally convex cones; bornological convergence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we define bornological and b-bornological convergence in locally convex cones. We give some characterizations for these convergences. In special case of locally convex topological vector spaces, both these concepts reduce to the known concept of Mackey-convergence. We investigate the relationship between bornological cones and bornological convergence. Finally, we investigate bornological completeness.

引用

页码：1921 / 1931

页数：10