| Symmetry of the Point Spectrum of Upper Triangular Infinite Dimensional Hamiltonian Operators |
| Received:September 07, 2007 Revised:April 16, 2008 |
| Key Words:
non-self-adjoint operator infinite dimensional Hamiltonian operator point spectrum symmetry.
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| Fund Project:the National Natural Science Foundation of China (No.10562002); the Natural Science Foundation of Inner Mongolia (Nos.200508010103; 200711020106); the Specialized Research Fund of the Doctoral Program of Higher Education of China (No.20070126002); Researc |
| Author Name | Affiliation | | WANG Hua | Department of Mathematics, College of Science and Technology, Inner Mongolia University, Inner Mongolia 010021, China
Department of Mathematics, College of Science, Inner Mongolia University of Technology, Inner Mongolia 010051, China | | Alatancang | 内蒙古工业大学理学院数学系, 内蒙古 呼和浩特 010051 | | HUANG Jun Jie | Department of Mathematics, College of Science and Technology, Inner Mongolia University, Inner Mongolia 010021, China
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| Abstract: |
| In this paper, by using characterization of the point spectrum of the upper triangular infinite dimensional Hamiltonian operator $H$, a necessary and sufficient condition is obtained on the symmetry of $\sigma_p(A)$ and $\sigma_p^1(-A^*)$ with respect to the imaginary axis. Then the symmetry of the point spectrum of $H$ is given, and several examples are presented to illustrate the results. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.05.018 |
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