| 算子矩阵平方(ω)性质的紧摄动 |
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| 引用本文： | 吴学俪,曹小红.算子矩阵平方(ω)性质的紧摄动[J].吉林大学学报(理学版),2015,53(6):1112-1118. |
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| 作者姓名： | 吴学俪 曹小红 |
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| 作者单位： | 陕西师范大学 数学与信息科学学院, 西安 710119 |
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| 摘 要： | 根据上三角算子矩阵对角上两个算子谱集的特点和该上三角算子矩阵对应对角矩阵的性质,研究上三角算子矩阵平方的(ω)性质在紧摄动下的稳定性,并给出了上三角算子矩阵的平方满足(ω)性质紧摄动的充要条件.
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| 关 键 词： | 上三角算子矩阵 (&omega )性质 紧摄动 |
| 收稿时间： | 2015-01-26 |
Perturbation of the Property (ω)for the Square of Operators Matrices |
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| WU Xueli,CAO Xiaohong.Perturbation of the Property (ω)for the Square of Operators Matrices[J].Journal of Jilin University: Sci Ed,2015,53(6):1112-1118. |
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| Authors: | WU Xueli CAO Xiaohong |
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| Institution: | School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China |
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| Abstract: | According to the characteristics of spectrum of the upper triangular operator matrices on the diagonal and the properties of the diagonal operator matrices corresponding to the upper triangular operator matrices, we investigated the stability of property (ω) for the square of the upper triangular operator matrices under compact perturbation, and gave the sufficientand necessary conditions for the square of the upper triangular operator matrices satisfying the compact perturbation of property (ω). |
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| Keywords: | upper triangular operator matrix property (ω) compact perturbation |
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