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Matematicheskie Zametki, 2018, Volume 103, Issue 6, paper published in the English version journal
(Mi mzm11081)
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Papers published in the English version of the journal
Symmetry of the Quadratic Numerical Range
and Spectral Inclusion Properties
of Hamiltonian Operator Matrices
J. Huanga, J. Liuab, A. Chenc 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
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.
Keywords:
Hamiltonian operator matrix, quadratic numerical range, symmetry, spectral inclusion.
Received: 28.12.2015 Revised: 10.04.2018
Citation:
J. Huang, J. Liu, A. Chen, “Symmetry of the Quadratic Numerical Range
and Spectral Inclusion Properties
of Hamiltonian Operator Matrices”, Math. Notes, 103:6 (2018), 1007–1013
Linking options:
https://www.mathnet.ru/eng/mzm11081
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Abstract page: | 192 |
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