无穷维Hamilton算子的近似点谱  

The Approximate Point Spectrum of Infinite Dimensional Hamiltonian Operators

作　　者：海国君[1] 阿拉坦仓[1] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《应用数学学报》2016年第5期669-676,共8页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11371185;11362011);内蒙古自然科学基金(2015MS0117)资助项目

摘　　要：本文研究了无穷维Hamilton算子的近似点谱.得到了无穷维Hamilton算子的近似点谱和谱集之间的关系,从而给出无穷维Hamilton算子的近似点谱关于虚轴对称的充分必要条件.In this paper, the approximate point spectrum of infinite dimensional Hamiltonian operators is studied. For infinite dimensional Hamiltonian operators, a relationship between the approximate point spectrum and the spectrum is given, and then a necessary and sufficient condition is obtained for the approximate point spectrum of infinite dimensional Hamiltonian operators to be symmetric with respect to the imaginary axis.

关 键 词：无穷维HAMILTON算子 谱 近似点谱 

分 类 号：O177.1[理学—数学]