Bornological Convergence in Locally Convex Cones

被引：5

作者：

Ayaseh, Davood ^{[1
]}

Ranjbari, Asghar ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Dept Pure Math, Tabriz, Iran

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 04期

关键词：

Locally convex cones; bornological convergence;

D O I：

10.1007/s00009-015-0578-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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：11

共 10 条

[1] [Anonymous], 2009, Lecture Notes in Mathematics
[2] [Anonymous], ELEMENTS MATH TOPOLO
[3] Ayaseh D., 2014, LE MAT, V69, P267
[4] Locally convex quotient lattice cones
Ayaseh, Davood
Ranjbari, Asghar
[J]. MATHEMATISCHE NACHRICHTEN, 2014, 287 (10) : 1083 - 1092
[5] Gach F., 2004, THESIS U WIEN
[6] KEIMEL K, 1992, LECT NOTES MATH, V1517, pR3
[7] Projective and inductive limits in locally convex cones
Ranjbari, Asghar
Saiflu, Husain
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) : 1097 - 1108
[8] Strict inductive limits in locally convex cones
Ranjbari, Asghar
[J]. POSITIVITY, 2011, 15 (03) : 465 - 471
[9] Robertson AP., 1964, Topological Vector Spaces
[10] Roth W, 2011, J CONVEX ANAL, V18, P903

← 1 →