J. Huang, J. Liu, A. Chen, “Symmetry of the Quadratic Numerical Range and Spectral Inclusion Properties of Hamiltonian Operator Matrices”, Матем. заметки, 2018, том 103, выпуск 6,страницы 1007

Статьи, опубликованные в английской версии журнала

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

J. Huang^a, J. Liu^ab, A. Chen^c

^a School of Mathematical Sciences, Inner Mongolia University, Hohhot, China
^b Manzhouli College, Inner Mongolia University, Manzhouli, China
^c Department of Mathematics, Hohhot Minzu College, Hohhot, China

Аннотация: 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.

Ключевые слова: Hamiltonian operator matrix, quadratic numerical range, symmetry, spectral inclusion.

Поступило: 28.12.2015
Исправленный вариант: 10.04.2018

Язык публикации: английский