| 上三角无穷维Hamilton算子四次数值域的对称性 |
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| 引用本文： | 姜丹,阿拉坦仓,侯国林.上三角无穷维Hamilton算子四次数值域的对称性[J].内蒙古大学学报(自然科学版),2012,43(3):225-230. |
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| 作者姓名： | 姜丹 阿拉坦仓 侯国林 |
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| 作者单位： | 内蒙古大学数学科学学院,呼和浩特,010021 |
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| 基金项目： | 国家自然科学基金资助项目，内蒙古自然科学基金资助项目 |
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| 摘 要： | 研究了4×4上三角无穷维Hamilton算子的点谱、剩余谱与四次数值域的包含关系,得到其四次数值域关于实轴、虚轴对称的充分条件.最后,举例验证了结论的正确性.
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| 关 键 词： | 无穷维Hamilton算子 n-次数值域 四次数值域 点谱 剩余谱 |
Symmetry of Biquadratic Numerical Range of Upper Triangular Infinite Dimensional Hamiltonian Operators |
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| JIANG Dan
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Alatancang
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HOU Guo-lin.Symmetry of Biquadratic Numerical Range of Upper Triangular Infinite Dimensional Hamiltonian Operators[J].Acta Scientiarum Naturalium Universitatis Neimongol,2012,43(3):225-230. |
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| Authors: | JIANG Dan Alatancang HOU Guo-lin |
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| Institution: | (School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China) |
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| Abstract: | The inclusion relationships of the point spectrum,residual spectrum and biquadratic numerical range of upper triangular infinite dimensional Hamiltonian operators are studied.Moreover,a sufficient condition is obtained for the biquadratic numerical range of the operators to be symmetric with respect to the real axis and imaginary axis.Finally,an example is constructed to illustrate the correctness of the results. |
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| Keywords: | infinite dimensional Hamiltonian operator n-numerical range biquadratic numerical range point spectrum residual spectrum |
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