节点文献
具有四个状态可修复系统本征值分布
The Distribution of Eigenvalue with the Four-State Reparable System
【摘要】 给出一类具有四个状态可修复系统算子预解式特性,对任意给定的δ>0,r=a+bi,固定a1,a2,使得-μ+δ<a1≤a≤a2,得出lim b→∞‖R(r;A+E)‖=0,从而得到在r≥a1的右半平面内相应于系统算子A+E的谱点由有限个孤立特征值组成.
【Abstract】 The property of operator′s resoluent with the four-state reparable system is discussed.We randomly give δ>0 and r=a+bi.Let′s fix a1 and a2,which is satisfying to-μ+δ<a1≤a≤a2.So,we get a conclusion is(lim)|b|→∞‖R(r:A+E)‖=0.Consequently,we obtain that in the right plane of r≥a1 is composed of the finite isolating eigenvalue correspending spectrum of operator A+E system.
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2006年08期
- 【分类号】O231
- 【被引频次】5
- 【下载频次】62