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

J. Huang; J. Liu; A. Chen

doi:10.1134/S0001434618050371

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

作者: Huang J.¹, Liu J.¹^,2, Chen A.³
隶属关系:
1. School of Mathematical Sciences
2. Manzhouli College
3. Department of Mathematics
期: 卷 103, 编号 5-6 (2018)
页面: 1007-1013
栏目: Article
URL: https://journals.rcsi.science/0001-4346/article/view/151072
DOI: https://doi.org/10.1134/S0001434618050371
ID: 151072

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详细

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.