具有S-WGHP性质的对偶对

数学季刊 ›› 2003, Vol. 18 ›› Issue (2): 182-185.

具有S-WGHP性质的对偶对

1. Department of Mathematics, Harbin Institute of Technology, Harbin 150006, China ; 2. Department of Mathematics, Jimei University, Xiamen 361000, China; 3. Department of Mathematics, Kum-Oh National Institute of Technology, Kyungbuk 730 - 701, Korea

收稿日期:2002-03-01 出版日期:2003-06-30 发布日期:2024-04-17
作者简介:LI Long-suo(1962-),male,native of Jinan,Shandong,a lecturer of Harbin Institute of Technology, Ph.D.,engages in functional analysis.
基金资助:
Supported by Research Fund of Kumoh National,Institute of Technology,Korea

The Dual Pair with the Signed-weak Gliding Hump Property

1. Department of Mathematics, Harbin Institute of Technology, Harbin 150006, China ; 2. Department of Mathematics, Jimei University, Xiamen 361000, China; 3. Department of Mathematics, Kum-Oh National Institute of Technology, Kyungbuk 730 - 701, Korea

Received:2002-03-01 Online:2003-06-30 Published:2024-04-17
About author:LI Long-suo(1962-),male,native of Jinan,Shandong,a lecturer of Harbin Institute of Technology, Ph.D.,engages in functional analysis.
Supported by:
Supported by Research Fund of Kumoh National,Institute of Technology,Korea

摘要/Abstract

摘要： In this paper,we introcuce the signed weak gliding hump property in a dual pair with the structure of a system of sections and show that if a dual pair [E,F]has the signed weak gliding hump property,then the β-dual space of E is a weak sequentially complete space if and only if for every n ∈N,(F(n),σ(F("),El))is sequentially complete.Furthermore,we also prove that if [E,F] has the signed weak gliding hump property,then(E,r(E,E())is an AK-space.

关键词: dual , pair;signed , weak , gliding , hump , property;sequentially , completeness

Abstract: In this paper,we introcuce the signed weak gliding hump property in a dual pair with the structure of a system of sections and show that if a dual pair [E,F]has the signed weak gliding hump property,then the β-dual space of E is a weak sequentially complete space if and only if for every n ∈N,(F(n),σ(F("),El))is sequentially complete.Furthermore,we also prove that if [E,F] has the signed weak gliding hump property,then(E,r(E,E())is an AK-space.

Key words: dual , pair;signed , weak , gliding , hump , property;sequentially , completeness

中图分类号:

O177.2

李龙锁, 刘金霞, 赵玟亨. 具有S-WGHP性质的对偶对[J]. 数学季刊, 2003, 18(2): 182-185.

LI Long-suo , LIU Jin-xia , CHO Min-hyung. The Dual Pair with the Signed-weak Gliding Hump Property[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(2): 182-185.