C-半群的弱概周期性  

Weakly Almost Periodic of C-Semigroup

作　　者：谢灵红[1] 李明奇[2] 

机构地区：[1]西南交通大学应用数学系,成都610031 [2]电子科技大学应用数学学院,成都610054

出　　处：《电子科技大学学报》2004年第2期218-220,共3页Journal of University of Electronic Science and Technology of China

基　　金：国家自然科学基金资助项目(60372012);重庆市应用基础研究资助项目(4031)。

摘　　要：假设在有界C-半群的概轨道()u的轨迹在Banach空间X中是弱紧的条件下,研究了C-半群的弱概周期性,得到了()Cu是弱概周期的;特别在X是自反的Banach空间的情况下,不用其假设条件也能获得同样的结论;相应获得了有界C-半群点的弱概周期。In this paper, weakly almost periodic of C-semigroup is studied, Let ()uis almost-orbit of a bounded C-semigroup on a Banach space X, assuming that ()u has weakly relatively compact range in X, We obtain that ()Cu is weakly almost periodic. In particular, in the case that X is reflexive Banach space,we show the same concusion without the assumption of condition that is weakly relatively compact in X is unnecessary for the same concusion. Accordingly we have weakly almost periodic of point in a bounded C-semigroup.

关 键 词：C-半群 概轨道 概周期 弱概周期 

分 类 号：O177.2[理学—数学]