| Qr空间及其闭图像定理 |
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| 引用本文： | 黄利忠,罗成.Qr空间及其闭图像定理[J].应用泛函分析学报,2012(2):193-198. |
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| 作者姓名： | 黄利忠 罗成 |
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| 作者单位： | 山西大同大学数计学院数学系;内蒙古大学数学科学学院 |
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| 基金项目： | 山西大同大学校级科研项目(2010Q2) |
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| 摘 要： | 在qw＊拓扑的基础上定义了Q空间和Qr空间,重点给出了在拟桶偶对条件下的Qr空间的有界算子的闭图像定理以及描述Qr空间几何特征的重要结论.
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| 关 键 词： | Qr空间 拟桶空间 闭图像定理 |
Closed Graph Theorem for Qr Spaces |
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| HUANG Lizhong,LUO Cheng.Closed Graph Theorem for Qr Spaces[J].Acta Analysis Functionalis Applicata,2012(2):193-198. |
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| Authors: | HUANG Lizhong LUO Cheng |
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| Institution: | 1.Department of Mathematics,College of Mathematics and Computer,Shanxi Datong University,Datong 037009, China; 2.Department of Mathematics,School of Mathematical Sciences,Inner Mongolia University,Huhhot 010021,China |
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| Abstract: | In this paper,Q spaces and Qr spaces are given based on the qw~* closed sets.The closed graph theorem for Qr spaces on the bounded linear operators are introduced on conditions that the dual pair is quasibarrelled,then the important solution describing Qr spaces’ geometric features is put forward. |
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| Keywords: | Qr spaces quasibarrelled spaces closed graph theorem |
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