双连续余弦函数的Cesàro遍历定理  

Cesàro ergodic theorems for bi-continuous cosine functions

作　　者：仓定帮[1] 陈藏[1] 宋晓秋[2] 

机构地区：[1]华北科技学院基础部 [2]中国矿业大学理学院

出　　处：《黑龙江大学自然科学学报》2014年第2期198-203,共6页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(10671205);中央高校基本科研业务资助项目(3142014039;3142013039);华北科技学院重点学科资助项目(HKXJZD201402)

摘　　要：Banach空间算子半群的应用研究中,范数意义下强连续这样的要求较强,在实际中发现存在一些半群并不是强连续的。基于双连续半群的概念,给出双连续余弦函数的概念及性质,进而对双连续余弦函数的Cesàro遍历的定义及性质进行研究,得到在拓扑意义下的双连续余弦函数的Cesàro遍历的若干结果。For many applications of operator semigroups on Banach spaces, strong continuity with respect to the norm is a too strong requirement. In fact, there exists a class of semigroups of operators which the usual strong continuity fails to hold. Based on the concept of bi-continuous operators, the con- cept and main properties of bi-continuous cosine function were introduced, and then the description of the main properties and the convergence of Cesaro ergodicity for bi-continuous cosine functions were studied. More precisely, some results on the Cesiaro ergodicity the topology τ are proved. for bi-continuous cosine functions with respect to

关 键 词：双连续余弦函数 Cesaro遍历 生成元 

分 类 号：O177[理学—数学]