Symmetry of the Quadratic Numerical Range and Spectral Inclusion Properties of Hamiltonian Operator Matrices

被引：1
|
作者：
Huang, J. [1 ]
Liu, J. [1 ,2 ]
Chen, A. [3 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot, Peoples R China
[2] Inner Mongolia Univ, Manzhouli Coll, Manzhouli, Peoples R China
[3] Hohhot Minzu Coll, Dept Math, Hohhot, Peoples R China
来源：
MATHEMATICAL NOTES | 2018年 / 103卷 / 5-6期
基金：
中国国家自然科学基金;
关键词：
Hamiltonian operator matrix; quadratic numerical range; symmetry; spectral inclusion;
D O I：
10.1134/S0001434618050371
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper studies Hamiltonian operator matrices with unbounded entries. Their quadratic numerical range is shown to be symmetric with respect to the imaginary axis under certain assumptions. Spectral inclusion properties are found.
引用
收藏
页码：1007 / 1013
页数：7
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