lcs空间(X,T)中的几个lcs拓扑  

Some Locally Convex Separated Topologies in a lcs Space (X,T)

作　　者：郝飞[1] 石超峰[1] 

机构地区：[1]内蒙古大学数学系

出　　处：《内蒙古大学学报（自然科学版）》1999年第3期283-285,共3页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自然科学基金

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）．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 紧集 极拓扑 lcs拓扑 lcs空间 

分 类 号：O189.11[理学—数学]