线性算子的拟点谱和拟剩余谱的精细刻画  

Meticulous Description of the Pseudo-point Spectra and Pseudo-residual Spectra of Linear Operators

作　　者：申润拴 侯国林[1] 阿拉坦仓[2] SHEN Run-shuan;HOU Guo-lin;CHEN Alatancang(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China;Hohhot Minzu College,Hohhot 010051,China)

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]呼和浩特民族学院,呼和浩特010051

出　　处：《内蒙古大学学报（自然科学版）》2020年第2期113-117,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(11861048);高等学校青年科技英才计划项目(NJYT-15-B03);内蒙古自治区自然科学基金(2016MS0105);内蒙古自治区“草原英才”工程青年创新人才项目(1300020608)资助。

摘　　要：给出了Hilbert空间稠定闭线性算子A的拟点谱和拟剩余谱的精细分类,并进一步刻化了线性算子A与其共扼算子A^*的四类拟点谱和两类拟剩余谱之间的关系,最后构造具体的例子说明了结果的正确性。The meticulous classification of the pseudo-point spectra and pseudo-residual spectra of densely defined closed linear operator A acting on a Hilbert space is given.And the relations of four types of pseudo-point spectra and two types of pseudo-residual spectra are described between linear operator Aand its adjoint operator A^*.Finally,a specific example is constructed to illustrate the accuracy of the results.

关 键 词：拟谱 拟点谱 拟剩余谱 拟连续谱 

分 类 号：O175.3[理学—数学]