指数有界n阶α次积分C半群的紧性  

Compactness of Exponentially Bounded n-th Orderα-Times Integration C-Semigroups

作　　者：刘乔乔 赵华新[1] LIU Qiaoqiao;ZHAO Huaxin(School of Mathematics and Computer Science,Yan an University,Yan an 716000,China)

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：《沈阳大学学报（自然科学版）》2022年第2期164-168,共5页Journal of Shenyang University：Natural Science

基　　金：国家自然科学基金资助项目(61763045)。

摘　　要：利用n阶α次积分C半群及其次生成元的定义,并借助经典算子理论的研究方法,给出了n阶α次积分C半群紧的定义,得到了指数有界n阶α次积分C半群的紧性性质。By using the definition of n-th orderα-times integration C-semigroups and sub-generator,and research method of classical operator theory,the definition of compactness of n-th orderα-times integration C-semigroups was given,and the compactness property of exponentially bounded n-th orderα-times integration C-semigroups was obtained.

关 键 词：指数有界 n阶α次积分C半群 次生成元 紧性 拓扑连续 

分 类 号：O177.2[理学—数学]