| Kato-Weyl算子矩阵的性质 |
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| 引用本文： | 田俊红,白永茂.Kato-Weyl算子矩阵的性质[J].天水师范学院学报,2013,33(2):50-52. |
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| 作者姓名： | 田俊红 白永茂 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃天水,741001 |
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| 基金项目： | 天水师范学院中青年科研资助琐目“与算子力学有关的算子的重要性质”（TSY201205）阶段性成果 |
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| 摘 要： | 定义了Kato-Weyl算子及其谱集,研究了在Hilbert空间上,当A∈B(H),B∈B(K)且C∈B(K,H)时,上三角算子矩阵为Mc=(A/O C/B)Kato-Weyl算子的条件及其重要性质.
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| 关 键 词： | 谱 Kato算子 Weyl算子 性质 |
The Properties of Generalized Kato-Weyl for Operator Matrices |
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| Tian Junhong
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Bai Yongmao.The Properties of Generalized Kato-Weyl for Operator Matrices[J].Journal of Tianshui Normal University,2013,33(2):50-52. |
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| Authors: | Tian Junhong Bai Yongmao |
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| Institution: | (School of Mathemaics and Statistics, Tianshui Normal University, Tianshui C.ansu 741001, China) |
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| Abstract: | This paper provides the definition of Kato-Weyl operator as well as the corresponding spectrum. Then it finds that upper triangular operator matrices Mc is the condition of Kato-Weyl operator and the properties whenA ∈B（H） , B ∈ B（H） and C ∈ B（K,H） areinthe Hilbertspace. |
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| Keywords: | spectrum Kato operator Weyl operator properties |
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