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lcs空间(X,T)中的几个lcs拓扑
Some Locally Convex Separated Topologies in a lcs Space (X,T)
【摘要】 在lcs空间(X,T)中证明了Taa(Tka)是X上最大的与T有相同的绝对凸紧集(紧集)且与T相容的lcs拓扑;(Ta)0((Tk)0)是X上最大的与T有相同的绝对凸紧集(紧集)且关于偶对(X,X′)容许的拓扑(admissibletopology).并给出了Taa(Ta)0的例
【Abstract】 In a lcs space (X,T), we prove that T aa (T ka ) is the largest lcs topology which has the same absolutely convex compact (compact) sets as T and is compatible with T;(T a) 0((T k) 0) is the largest lcs topology which has the same absolutely convex compact (compact) sets as T and is admissible with dual pair (X,X′). We also give an example for T aa (T a) 0.
【关键词】 局部凸分离空间;
绝对凸紧集;
紧集;
极拓扑;
【Key words】 locally convex separated space; absolutely convex compact set; compact set; polar topology;
【Key words】 locally convex separated space; absolutely convex compact set; compact set; polar topology;
【基金】 内蒙古自然科学基金
- 【文献出处】 内蒙古大学学报(自然科学版) ,ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NEIMONGOL , 编辑部邮箱 ,1999年03期
- 【分类号】O189.11
- 【下载频次】23