M-l^1完备和M-co-drop性质  

M-l^1-completeness and M-co-drop Property

作　　者：贺飞[1] 赵辉[2] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]北京大学数学科学学院,北京100871

出　　处：《内蒙古大学学报（自然科学版）》2009年第4期378-381,共4页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10871141)

摘　　要：在有界线性空间中,提出了M-l1完备和M-co-drop性质的概念.证明了凸有界线性空间是M-完备等价于M-l1完备,而且给出有界线性空间中M-co-drop性质与有界线性泛函可取极值之间的关系.In bornological vector spaces, the concepts of M-l^1-compieteness and M-co-drop property are introduced. It is obtained that a convex bornological vector space is M-l^1-completeness if and only if it is M-completeness. The relationship between the M-co-drop property and the problem concerning some class of functions attaining the extreme values is investigated.

关 键 词：有界线性空间 M-l1完备 M-co-drop性质 

分 类 号：O177.3[理学—数学]