稠定闭线性算子的剩余谱刻画及其应用  

The Description of Residual Spectrum of Densely Defined Closed Linear Operators and Its Applications

作　　者：范小英[1] 阿拉坦仓[1] 

机构地区：[1]内蒙古大学数学科学学院,内蒙古呼和浩特010021

出　　处：《数学研究》2009年第3期305-309,共5页Journal of Mathematical Study

基　　金：国家自然科学基金资助项目(10562002);高等学校博士学科点专项科研基金(20070126002);内蒙古自治区自然科学基金资助项目(200508010103)

摘　　要：得到Hilbert空间中的稠定闭线性算子的剩余谱由其点谱及其共轭算子点谱完全刻画,由此给出了其剩余谱为空集的充要条件;从而得到两类稠定闭线性算子的谱结构.In this paper,the description of the residual spectrum of densely defined closed operators is obtained,and by the above result,the necessary and sufficient conditions for residual spectrum of densely defined closed operators in a Hilbert space to empty is obtained,hence the spectral structure of two classes of densely defined closed operators is obtained.

关 键 词：稠定闭算子 谱 点谱 剩余谱 连续谱 

分 类 号：O175.3[理学—数学]