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双连续C半群的Cesàro遍历定理

Cesàro Ergodic Theorems for Bi-continuous C-semigroups
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摘要 结合双连续C半群的概念,给出了双连续C半群Cesàro遍历的定义及性质,借助于双连续C半群的生成元及正则集,得到了在拓扑τ收敛意义下的双连续C半Cesàro遍历的若干结果. The main properties of bi-continuous C-semigroups are introduced. The convergence of the Cesaro means of bi-continuous C-semigroups is studied. More precisely, by means of the generator and resolvent of hi-continuous C-semigroups, some results on the τ-convergence of the Cesaro means of bi-continuous C-semigroups with respect to the topology τ are given.
作者 仓定帮 陈藏 宋晓秋
机构地区 华北科技学院基础部 华北科技学院教务处 中国矿业大学理学院
出处 《湖南师范大学自然科学学报》 CAS 北大核心 2014年第2期67-71,共5页 Journal of Natural Science of Hunan Normal University
基金 国家自然科学基金资助项目(10671205) 中央高校基本科研基金资助项目(3142012022 3142013039)
关键词 双连续C半群 Cesbaao遍历 生成元 bi-continuous C semigroups Cesaro ergodicity generator
分类号 O177.2 [理学—基础数学]
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参考文献11

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共引文献12

湖南师范大学自然科学学报
2014年 第2期

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