完全连续的双参数C_0半群  

Completely Continuous of Two-parameter C_0 Semigroups

作　　者：赵月英[1] 宋晓秋[1] 邓芳[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《临沂师范学院学报》2009年第3期26-28,共3页Journal of Linyi Teachers' College

基　　金：中国矿业大学科技基金(OK060156)资助

摘　　要：为了丰富半群理论,在对双参数C0半群概念界定的基础上利用经典的算子半群理论,引入了完全连续双参数C0半群的概念,得出了完全连续双参数C0半群的由其无穷小生成元所刻划的特征,并讨论了单参数C0完全连续性与双参数C0半群完全连续性之间的联系.In order to enrich the theory of semigroups, definition of two-parameter Co semigroups and classical methods in operator semigroups theory are introduced. The concept of completely continuous of two-parameter Co semigroups is introduced. Characterization of completely continuous two-parameter Co semigroups solely in terms of properties of its infinitesimal generator is obtained and the relationship between the one-parameter Co semigroups and two-parameter Co semigroups is also discussed.

关 键 词：双参数C0半群 无穷小生成元 完全连续算子 

分 类 号：O177[理学—数学]