Spectral properties and numerical range of off-diagonal infinite-dimensional Hamiltonian operators |
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| Authors: | Deyu Wu Alatancang Chen |
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| Affiliation: | 1. School of Mathematical Sciences , Inner Mongolia University , Hohhot 010021 , China wudeyu2585@163.com;3. School of Mathematical Sciences , Inner Mongolia University , Hohhot 010021 , China |
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| Abstract: | The spectral properties of the off-diagonal infinite-dimensional Hamiltonian operator are studied in this article. Characterizations of the spectrum, the point spectrum and the residual spectrum are given. A spectral inclusion property of numerical range is proved. |
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| Keywords: | infinite-dimensional off-diagonal Hamiltonian operator point spectrum residual spectrum numerical range |
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