对角无穷维反Hamilton算子点谱的精细刻画  

Meticulous Description of the Point Spectrum of Diagonal Infinite-Dimensional Anti-Hamiltonian Operators

作　　者：郭红梅 侯国林[1] 阿拉坦仓[2] 

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）》2018年第1期6-11,共6页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(11361034);内蒙古自治区青年科技英才(NJYT-15-B03);内蒙古自然科学基金(2016MS0105)资助项目

摘　　要：研究对角无穷维反Hamilton算子的谱,得到了对角无穷维反Hamilton算子的四类点谱和两类剩余谱,并用其内部元素谱的性质刻画了对角无穷维反Hamilton算子点谱关于实轴的对称性.The spectrum of diagonal infinite-dimensional anti-Hamiltonian operators is studied. Four types of point spectrum and two types of residual spectrum are obtained. Then the symmetry of the point spectrum of diagonal infinite-dimensional anti-Hamiltonian operators with respect to a real line is characterized by using the spectrum of its internal elements.

关 键 词：对角无穷维反Hamilton算子 四类点谱 两类剩余谱 对称性 

分 类 号：O175.3[理学—数学]