指数有界双连续n阶α次积分C群的谱映射定理  

Spectral Mapping Theorem of Bi-continuous n-th Orderα-Times Integration C-groups with Exponential Boundedness

作　　者：周阳 赵华新[1] 周裕然 ZHOU Yang;ZHAO Huaxin;ZHOU Yuran(School of Mathematics and Computer Science,Yan’an University,Yan’an 716000,Shaanxi 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：《河南科学》2020年第11期1721-1726,共6页Henan Science

基　　金：国家自然科学基金项目(71961030);延安大学研究生教改项目。

摘　　要：利用经典算子半群理论中的方法和指数有界双连续n阶α次积分C半群的概念,基于n阶α次积分C半群的谱映射定理,得到指数有界双连续n阶α次积分C群的谱映射定理.By using the method of classical operator semigroup theory and the concept of bi-continuous n-th orderα-times integration C-semigroups with exponential boundedness,based on the spectral mapping theorem of n-th orderα-times integrated C-semigroups,we get a theorem for the spectral mapping theorem of bi-continuous n-th orderα-times integration C-groups with exponential boundedness.

关 键 词：指数有界 双连续n阶α次积分C半群 指数有界双连续n阶α次积分C群 谱映射定理 

分 类 号：O177.2[理学—数学]