双连续C正则预解算子族的生成定理  

A Generation Theorem For Bi-continuous C Regularized Resolvent Operator Families

作　　者：陈藏[1] 宋晓秋[2] 仓定帮[1] 

机构地区：[1]华北科技学院基础部,北京101601 [2]中国矿业大学理学院,徐州221008

出　　处：《数学的实践与认识》2013年第7期220-226,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10671205);中央高校基本科研资助基金(JCB1201B;JWC2013B02)

摘　　要：基于C正则预解算子族和双连续C_0半群引入了双连续C正则预解算子族的概念,考察了双连续C正则预解算子族生成元与预解式之间的关系,给出了双连续C正则预解算子族Hille-Yosida型生成定理,从而对Bananch空间强连续半群的生成定理进行了推广.Based on the theories of bi-continuous semigroups and C regularized resolvent operator families,the concept of bi-continuous C regularized resolvent operator families was presented.The relations between the operators and the resolvent were investigated.We ob- tained the generation theorem for bi-continuous C regularized resolvent operator families and then generalize the generation theorem for the strong continuous semigroups on Banach space.

关 键 词：双连续C正则预解算子族 生成元 生成定理 

分 类 号：O177[理学—数学]