| 上三角型无穷维Hamilton算子的连续谱 |
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| 引用本文： | 黄俊杰,阿拉坦仓.上三角型无穷维Hamilton算子的连续谱[J].南京理工大学学报(自然科学版),2005,29(2):240-243. |
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| 作者姓名： | 黄俊杰 阿拉坦仓 |
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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 ( 10 16 2 0 0 3)，内蒙古自治区高等教育“111工程”项目 |
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| 摘 要： | 该文首次研究了无穷维Hamilton算子的连续谱是否为空集以及何时为空集的问题，得到了上三角型无穷维Hamilton算子连续谱为空集的充分必要条件，给出了上三角型无穷维Hamilton算子连续谱为空集的几个判别准则。最后，构造出具体的例子以说明判别准则的有效性。
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| 关 键 词： | 非自伴算子 上三角型无穷维Hamilton算子 连续谱 |
| 文章编号： | 1005-9830(2005)02-0240-04 |
| 修稿时间： | 2003年8月24日 |
Continuous Spectrum on Upper-triangular-type Infinite Dimensional Hamiltonian Operators |
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| HUANG Jun-jie,Alatancang.Continuous Spectrum on Upper-triangular-type Infinite Dimensional Hamiltonian Operators[J].Journal of Nanjing University of Science and Technology(Nature Science),2005,29(2):240-243. |
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| Authors: | HUANG Jun-jie Alatancang |
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| Abstract: | The problems are studied that whether the continuous spectrum of an infinite dimensional Hamiltonian operator is empty or not and when it is empty. A necessary and sufficient condition is obtained that the continuous spectrum of upper-triangular-type infinite dimensional Hamiltonian operators is empty and its criterions are given.In the end, a concrete example of infinite dimensional Hamiltonian operators is constructed to justify the effectiveness of the criterions. |
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| Keywords: | non-self-adjoint operators upper-triangular-type infinite dimensional Hamiltonian operators continuous spectrum |
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