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 50 条

[1] Bornological Convergence in Locally Convex Cones
Davood Ayaseh
Asghar Ranjbari
Mediterranean Journal of Mathematics, 2016, 13 : 1921 - 1931
[2] BORNOLOGICAL LOCALLY CONVEX CONES
Ayaseh, Davood
Ranjbari, Asghar
MATEMATICHE, 2014, 69 (02): : 267 - 284
[3] Bornological Completion of Locally Convex Cones
Ayaseh, Davood
Ranjbari, Asghar
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2020, 17 (02): : 173 - 183
[4] SOME NOTES ON BORNOLOGICAL AND NONBORNOLOGICAL LOCALLY CONVEX CONES
Ayaseh, Davood
Ranjbari, Asghar
MATEMATICHE, 2015, 70 (02): : 235 - 241
[5] On integration in complete bornological locally convex spaces
Haluska, J
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1997, 47 (02) : 205 - 219
[6] On integration in complete bornological locally convex spaces
Ján Haluška
Czechoslovak Mathematical Journal, 1997, 47 : 205 - 219
[7] Convergence of subdifferentials and normal cones in locally uniformly convex Banach space
Thibault, L.
Zakaryan, T.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 98 : 110 - 134
[8] On Integrable Functions in Complete Bornological Locally Convex Spaces
Haluska, Jan
Hutnik, Ondrej
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2012, 9 (01) : 165 - 186
[9] TUNNELED BORNOLOGICAL SPACE ASSOCIATED WITH LOCALLY CONVEX SPACE
NOUREDDINE, K
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1972, 275 (20): : 977 - +
[10] WEBBED LOCALLY CONVEX CONES
Ayaseh, Davood
Ranjbari, Asghar
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (02): : 149 - 164

← 1 2 3 4 5 →