The generators of exponentially bounded C-semigroups and theHille-Yosida spaces  

作　　者：姚景齐 

机构地区：[1]Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China

出　　处：《Chinese Science Bulletin》1996年第23期2021-2022,共2页

基　　金：supported by the National Natural Science Foundation of China.

摘　　要：Let（X,||·||）be a Banach space and let C be an injective bounded linear operator inX.A strongly continuous family of bounded linear operators{S（t）;t≥0}is called anexponentially bounded C-semigroup（hereinafter abbreviated to C-semigroup）on X,if S（0）=C,S（t）S（s）=S（t+s）C,t,s≥0,and ||S（t）||≤Me^at,t≥0.

关 键 词：The generators of exponentially bounded C-semigroups and theHille-Yosida spaces 

分 类 号：O152.7[理学—数学]