BORNOLOGICAL LOCALLY CONVEX CONES

被引：11
|
作者：
Ayaseh, Davood [1 ]
Ranjbari, Asghar [1 ]
机构：
[1] Univ Tabriz, Fac Math Sci, Dept Pure Math, Tabriz, Iran
来源：
MATEMATICHE | 2014年 / 69卷 / 02期
关键词：
Locally convex cone; bornological cone;
D O I：
10.4418/2014.69.2.23
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterizations for these cones. In the special case of locally convex topological vector spaces these both concepts reduce to the known concept of bornological spaces. We introduce and investigate the convex quasiuniform structures U-tau, U-sigma (P; P-star) and U-beta (P; P-star) on locally convex cone (P; U)
引用
收藏
页码：267 / 284
页数：18
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