具有范数连续性与绝对紧性的双参数有界算子C群的扰动  

Perturbation of two Parameters Bounded Operator C Groups with Norm Continuity and Absolute Compactness

作　　者：杨雯雯[1] 庞芙蓉 徐小玲[3] YANG Wenwen;PANG Furong;XU Xiaoling(Public Teaching Department of Yan′an Vocational and Technical College,716000,Yan′an,Shanxi,PRC;School of Mathematics and Computer Science,Yan′an University,716000,Yan′an,Shanxi,PRC;Xi′an Innovation College of Yan′an University,710000,Xi′an,PRC)

机构地区：[1]延安职业技术学院公共教学部,陕西延安716000 [2]延安大学数学与计算机科学学院,陕西延安716000 [3]延安大学西安创新学院,西安710000

出　　处：《江西科学》2020年第3期298-299,373,共3页Jiangxi Science

基　　金：陕西省教育厅专项科学研究计划项目(18JK0862);陕西省教育科学规划课题(SGH18H466)。

摘　　要：在双参数有界算子C群定义及生成元的基础上,引入了双参数有界算子C群的范数连续性与绝对紧性,并分别讨论了它们的有界扰动。Based on the definition and generator of two-parameter bounded operator C groups,we introduce the norm continuity and absolute compactness of two-parameter bounded operator C groups,and discusse their bounded perturbation respectively.

关 键 词：双参数有界算子C群 范数连续性 绝对紧性 生成元 

分 类 号：O177[理学—数学]