半拓扑线性空间中的半拓扑线性有界性  

Semi-topological Linear Boundedness of Semi-topological Linear Spaces

作　　者：阿拉腾苏布德[1] 

机构地区：[1]内蒙古农业大学理学院,呼和浩特010018

出　　处：《内蒙古大学学报（自然科学版）》2012年第1期31-33,共3页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自然科学基金资助项目(200508010106)

摘　　要：主要研究半拓扑线性空间中半拓扑线性有界与完全半拓扑线性有界的关系,得到了半拓扑线性子空间中半拓扑线性有界的充分必要条件,以及半拓扑线性空间中半拓扑线性有界的等价条件.The relation between semi-topological linear-bounded and complete semi-topological linear-bounded is mainly discussed in semi-topological linear spaces.The sufficient and necessary conditions of semi-topological linear-bounded in the subspace of semi-topological linear spaces are given,and the equal condition of semi-topological linear-bounded in the semi-topological linear spaces is obtained.

关 键 词：半拓扑线性空间 半拓扑线性有界 完全半拓扑线性有界 半拓扑线性空间的子空间 

分 类 号：O177.2[理学—数学]