完全连续C-半群  

Completely Continuous C-Semigroups

作　　者：刘瑞[1] 杜雨亭 王小霞[1] LIU Rui;DU Yuting;WANG Xiaoxia(Institute of Mathematics and Computer Science,Yan'an University,716000,Yan′an,Shaanxi,PRC)

机构地区：[1]延安大学数学与计算机科学学院

出　　处：《江西科学》2019年第5期733-734,742,共3页Jiangxi Science

基　　金：陕西省大学生创新创业计划训练项目(201910719041);延安大学科研计划项目(YDQ2017-06);陕西省自然科学基础研究项目(2018JM1042)

摘　　要：为了丰富算子半群理论,在对C-半群概念界定的基础上,利用经典的算子半群理论,引入了完全连续C-半群的概念,得到了完全连续C-半群的由其无穷小生成元所刻画的特征,对实际工作的研究也有重大的意义。In order to enrich the theory of semigroups,definition of C-semigroups and classical methods in operator semigroups theory are introduced.The concept of completely continuous of C-semigroups is introduced.Characterization of completely continuous C-semigroups solely in terms of properties of its infinitesimal generator is obtained and it has great significance to our real work.

关 键 词：C-半群 无穷小生成元 完全连续算子 

分 类 号：O177[理学—数学]