| L^2*L^2中的一类无穷维Hamilton算子的剩余谱 |
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| 引用本文： | 阿拉坦仓,黄俊杰,范小英.L^2*L^2中的一类无穷维Hamilton算子的剩余谱[J].数学物理学报(A辑),2005,25(7):1040-1045. |
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| 作者姓名： | 阿拉坦仓 黄俊杰 范小英 |
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| 作者单位： | 内蒙古大学数学系 内蒙古 呼和浩特 010021 |
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| 基金项目： | 国家自然科学基金(10162003)、内蒙古自治区自然科学基金(2001301)、内蒙古自治区高等教育111工程资助项目 |
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| 摘 要： | 该文得到了一类无穷维Hamilton算子的剩余谱和点谱存在的几个判别准则,从而给出了求其剩余谱和点谱的方法. 在此基础上构造了L^2*L^2中无穷维Hamilton算子的剩余谱非空的具体例子, 从而进一步验证了判别准则的有效性.
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| 关 键 词： | 无穷维Hamilton算子 剩余谱 点谱 |
The Residual Spectrum for a Class of Infinite Dimensional Hamiltonian Operators in |L^2*L^2 |
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| A La-Tan-Cang,HUANG Jun-Jie,FAN Xiao-Yng.The Residual Spectrum for a Class of Infinite Dimensional Hamiltonian Operators in |L^2*L^2[J].Acta Mathematica Scientia,2005,25(7):1040-1045. |
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| Authors: | A La-Tan-Cang HUANG Jun-Jie FAN Xiao-Yng |
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| Abstract: | In this paper, some criteria on the existence of point spectrum and residual spectrum for the upper triangular infinite dimensional Hamiltonian operators are obtained. Based on the above results, some concrete examples of infinite dimensional Hamiltonian operators with non-empty
residual spectrum are constructed in L^2*L^2 to further justify the criterions' effectiveness. |
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| Keywords: | Infinite dimensional zz Hamiltonian zz operatorzz Residual spectrum Point spectrum zz |
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