赋准范空间上等度连续算子列极限有界性的一个注记  

A Note on the Boundedness of the Limit of Equi-continuous Operator Sequence on 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：《天津师范大学学报（自然科学版）》2003年第4期55-57,共3页Journal of Tianjin Normal University：Natural Science Edition

摘　　要：证明了在赋准范空间上等度连续的按范γ-拟次加算子列的极限,和等度连续的按范γ-最大拟次加算子列的极限,在任何拟有界集上是数值有界的,及其按范γ-拟次加性和按范γ-最大拟次的不变性.In quasi-normed space, the limit of normed γ-quasi-subadditive operator sequence or normed γ-max-quasi-subadditive operator sequence being equi-continunous operator sequence in quasi-normed space is bounded in any quasi-bounded set, and its normed γ-quasi-subadditivity or normed γ-max-quasi-subadditivity is invariable.

关 键 词：赋准范空间 等度连续算子 拟有界集 γ-拟次加算子 γ-最大拟次加算子 极限 有界性 

分 类 号：O177[理学—数学]