Products and Direct Sums in Locally Convex Cones

被引：15

作者：

Motallebi, M. R. ^{[1
]}

Saiflu, H. ^{[2
]}

机构：

[1] Univ Mohaghegh Ardabili, Dept Math, Ardebil, Iran

[2] Tabriz Univ, Dept Math, Tabriz, Iran

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2012年 / 55卷 / 04期

关键词：

product and direct sum; duality; locally convex cone;

D O I：

10.4153/CMB-2011-161-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we define lower, upper, and symmetric completeness and discuss closure of the sets in products and direct sums. In particular, we introduce suitable bases for these topologies, which leads us to investigate completeness of the direct sum and its components. Some results obtained about X-topologies and polars of the neighborhoods.

引用

页码：783 / 798

页数：16

共 4 条

[1]

KEIMEL K, 1992, LECT NOTES MATH, V1517

[2] Duality on locally convex cones [J].