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

Authors: Huang J.¹, Liu J.¹^,2, Chen A.³
Affiliations:
1. School of Mathematical Sciences
2. Manzhouli College
3. Department of Mathematics
Issue: Vol 103, No 5-6 (2018)
Pages: 1007-1013
Section: Article
URL: https://journals.rcsi.science/0001-4346/article/view/151072
DOI: https://doi.org/10.1134/S0001434618050371
ID: 151072

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Abstract

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.