双连续C半群的逼近定理  

On Approximation Theorem for Bi-Continuous C-semigroups

作　　者：李慧敏[1] 宋晓秋[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《内江师范学院学报》2009年第12期27-29,共3页Journal of Neijiang Normal University

基　　金：徐州市科技计划项目(XM08C095);中国矿业大学科技基金资助(OK060156)

摘　　要：基于Banach空间中强连续半群的逼近理论,结合双连续C半群概念,通过讨论其生成元与预解式之间的关系,得到双连续C半群的逼近定理,从而推广了Banach空间上强连续半群的逼近定理.Based on the approximation theories of strong continuous semigroups on Banach space, and in combination with the concept of hi-continuous C-semigroups, the approximation theorems of bi-continuous C-semigroups is thus obtained by analyzing the relations between its generator and resolvent, and the said approximation theorem for the strong continuous semigroups on Banach space is then generalized.

关 键 词：双连续C半群 生成元 C-预解式 逼近定理 

分 类 号：O177[理学—数学]