赋准范空间上半连续算子族的一致有界性  

The Uniform Boundness of the Upper Semi-continuous Operator Family in Quasi-normed Space

作　　者：刘玉波[1] 刘宜[2] 

机构地区：[1]天津理工学院基础教育学院,天津300400 [2]天津师范大学物理与电子信息学院,天津300074

出　　处：《厦门大学学报（自然科学版）》2003年第3期291-295,共5页Journal of Xiamen University：Natural Science

摘　　要：首先在第二纲的赋准范空间上给出了在某一点"上半连续"的广义按范γ 拟次加算子族的一致有界性.然后推出了在第二纲的赋准范空间上,关于按范γ 拟次加算子列的极限的几个性质.In quasinormed space of secondary category,the uniform boundness is proved for generalized normed γquasisubadditive operator family being 'upper semicontinuous' at a certain point. Then several properties of the limit of normed γquasisubadditive sequence of operator in quasinormed space of second category are derived.

关 键 词：赋准范空间 上半连续算子族 一致有界性 γ-拟次加算子族 极限 第二纲 

分 类 号：O177.3[理学—数学]