摘要
对于一类经典的序列空间,引入了一类重要子集,并且该集族一些重要性质被找到.利用该集族性质,获得了一个算子级数序列赋值收敛定理.特别是,结论完全去掉了通常对映射的线性限制,其理论意义重大又大大增加了应用的可能性.
For a type of classic sequence space,this paper introduces a class of important subsets,and some important properties of the subset family have been found.By using the properties of the subset family,in this article a sequential evaluation convergence theorem of operator series is obtained.Especially,this article completely drop the linearity restriction forced on the mappings as usual.It is not only very important in theory but also increases much probability of application.
出处
《哈尔滨理工大学学报》
CAS
北大核心
2011年第4期114-117,共4页
Journal of Harbin University of Science and Technology
基金
黑龙江省自然科学基金(G200809A)
关键词
序列赋值收敛
一致消失
全有界
sequential-evaluation convergence
uniformly vanishing
totally bounded
