ON ORDERED TOPOLOGICAL VECTOR GROUPS NEW RESULTS

被引：0
|
作者：
Kadelburg, Zoran [1 ]
Fabiano, Nicola [2 ]
Mirkov, Nikola [2 ]
Radenovic, Stojan [3 ]
机构：
[1] Univ Belgrade, Fac Math, Studentski Trg 16, Beograd 11000, Serbia
[2] Univ Belgrade, Vinea Inst Nucl Sci, Natl Inst Republ Serbia, Mike Petroviea Alasa 12-14, Belgrade 11351, Serbia
[3] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Beograd 1112035, Serbia
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2022年 / 23卷 / 06期
关键词：
Topological vector space; locally convex space; ordered vector space; Riesz space; open decomposition property;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The theory of ordered topological vector spaces has been treated in a great number of articles and books. On the other hand, topological vector groups were introduced and studied by D. A. Raikov [On B-complete topological vector groups, Studia Math. 31 (1968), 296-305] and P. S. Kenderov [On topological vector groups, Mat. Sb. 10 (1970), 531-546]. These are vector spaces with a topology in which addition is continuous, but multiplication by scalars is continuous only if the scalar field is taken with the discrete topology. In this paper we introduce ordered topological vector groups and investigate their structure, in particular exploring them in the case when they need not be locally convex.
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页码：1231 / 1254
页数：24
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