| 具有给定点谱的对角算子的构造 |
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| 引用本文： | 李经文.具有给定点谱的对角算子的构造[J].邵阳学院学报(社会科学版),1997(2). |
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| 作者姓名： | 李经文 |
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| 作者单位： | 湖南邵阳师专 邵阳，422000 |
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| 摘 要： | 在文2]的基础上,本文提出了构造具有任意指定点谱的对角算子的一种方法.推广和改进了文1]中相应的结果.从而,文3]中给出的点谱充满实轴的自伴算子仅仅是其特例.
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| 关 键 词： | 对角算子 谱 点谱 线性稠定算子 自伴算子 |
The Structure of Diagonal Operator with Given Point Spectrum |
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| Li Jingwen Shaoyang Teachers College,Shaoyang.The Structure of Diagonal Operator with Given Point Spectrum[J].Journal of Shaoyang University:Social Science,1997(2). |
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| Authors: | Li Jingwen Shaoyang Teachers College Shaoyang |
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| Institution: | Li Jingwen Shaoyang Teachers College,Shaoyang 422000 |
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| Abstract: | Based on the literature2]this paper presents a method to construct a diagonal operatorwiht given point spectrum. It generanizes and improves correspondent results obtained in1].Then the self-adjoint operator filling all real line with its point spectrum which was given in3]is simply a special example of this paper. |
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| Keywords: | Diagonal operator spectrum point spectrum dense--determinate operator self--adjoint operator |
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