双连续C半群的Vornonvskaja型逼近问题  

Vornonvskaja-type Approximation for Bi-continuous C-semigroups

作　　者：仓定帮[1] 闫守峰[1] 苗文静[1] 

机构地区：[1]华北科技学院基础部,北京101601

出　　处：《中山大学学报（自然科学版）》2014年第4期35-39,共5页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：中央高校基本科研业务费资助项目(3142012022;3142013039;3142014039;3142014127);华北科技学院重点学科资助项目(HKXJZD201402)

摘　　要：基于局部凸拓扑τ的Banach空间上双连续C半群的定义及性质,借助于双正则核这一工具,研究了双连续C半群的表示形式,给出了双连续C半群Vornonvskaja型逼近定理。Based on the definition and properties of the Bi-continuous C-semigroups on a Banach space endowed with an additional locally convex topology τ, by means of bi-positive kernel , the problem of ap-proximation for Bi-continuous C-semigroups was studied and the exponential-type representation formulas are given.Moreover, a corresponding Vornonvskaja-type approximation of exponential formulas is ob-tained , and the generating theorems are given .

关 键 词：双连续C半群 双正则核 逼近定理 

分 类 号：O177.2[理学—数学]