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.
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)
关键词
双连续C半群
生成元
C-预解式
逼近定理
bi-continuous C-semigroups
generators
C-resolvent
approximation theorem
