一类可修复计算机串联系统算子性质  

Properties of the System Operator of a Repairable Computer Series System

作　　者：马丹[1] 乔兴[1] 任秀[1] 卢树强[1] 

机构地区：[1]大庆师范学院数学系,大庆163712

出　　处：《应用泛函分析学报》2015年第4期384-390,共7页Acta Analysis Functionalis Applicata

基　　金：黑龙江省自然科学青年基金项目(QC2010024);大庆师范学院自然科学基金项目(10ZR07)

摘　　要：研究了一个由硬件和软件构成的计算机串联系统.运用泛函分析及C_0半群理论,给出了系统算子是稠定的预解正算子的证明,得出了系统算子谱的性质和其共轭算子及定义域,并证明系统算子的增长界为0.最后运用预解正算子的相关理论,证明系统算子的谱上界也是0.We investigate a computer series system containing hardware and software. Using functional analysis and Co-semigroup theory, we first prove the system operator is a densely defined resolvent positive operator. Then, we obtain the adjoint operator of the system operator and its domain and the spectra distribution of the system operator. Furthermore, we prove that 0 is the growth bound of the system operator. Finally, we show that 0 is also the upper spectral bound of the system operator using the concept of cofinal and relative theory.

关 键 词：串联系统 增长界 共尾 谱上界 

分 类 号：O177.2[理学—数学]