指数有界双连续n次积分C-半群及其性质  

Exponentially bounded bi-continuous n-times integrated C-semigroups and properties

作　　者：常胜伟[1] 赵华新[1] 王晓梦[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《西南民族大学学报（自然科学版）》2008年第1期15-19,共5页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：陕西省教育厅专项科研计划项目(07JK430)

摘　　要：给出了一个带有局部凸拓扑τ的Banach空间X上的指数有界双连续n次积分C-半群的定义,并得到指数有界双连续n次积分C-半群的若干性质.In this paper we investigate bi-continuous n-times integrated C-semigroups on Banach space X endowed with an additional locally convex topology τ. Combining the properties of bi-continuous C-semigroups and n-times integrated C- semigroups, we conclude some properties Of bi-continuous n-times integrated C-semigroups.

关 键 词：双连续n次积分C-半群 指数有界 性质 

分 类 号：O177.91[理学—数学]