一类反三角算子矩阵的本质谱  

The Essential Spectrum of a Class of Anti-Triangular Opera tor Mat rices

作　　者：花蕊 齐雅茹[1] Hua Rui;Qi Yaru(College of Sciences,Inner Mongolia University of Technology,Hohhot 010051)

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《数学物理学报（A辑）》2022年第6期1610-1618,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(12261065);内蒙古自然科学基金(2021LHMS01004,2022MS01005);自治区直属高校基本科研业务费项目(JY20220151)。

摘　　要：该文讨论了一类无界非自伴反三角算子矩阵的本质谱.利用二次算子族及其矩阵内部元素的性质等价刻画了算子矩阵的本质谱,并在此基础上估计了算子矩阵的本质谱的范围.最后基于本质谱的研究,讨论了其非实谱的聚点问题.In this paper,the essential spectrum of a class of unbounded unself-adjoint anti-triangular operator matrices is studied.Firstly,we describe the essential spectrum of operator matrices by using the quadratic operator pencil and the properties of its operator entries,and estimate the essential spectrum of the whole operator matrix.On this basis,the accumulation point of the non-real spectrum of the operator matrix is analyzed.

关 键 词：反三角算子矩阵 本质谱 谱的聚点 

分 类 号：O177.1[理学—数学]