| 上三角算子矩阵的Kato本质谱摄动 |
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| 引用本文： | 王济荣,曹小红. 上三角算子矩阵的Kato本质谱摄动[J]. 山东大学学报(理学版), 2010, 45(3): 90-95 |
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| 作者姓名： | 王济荣 曹小红 |
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| 作者单位： | 1. 山西运城学院应用数学系,山西运城,044000
2. 陕西师范大学数学与信息科学学院,陕西西安,710062 |
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| 基金项目： | 国家自然科学基金，新世纪优秀人才支持计划，山西省重点学科扶持基金 |
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| 摘 要： | 令σek(T)=σe(T)∪σk(T)为算子T的Kato本质谱,其中σe(T)和σk(T)分别表示算子T的本质谱以及Kato谱。研究了Hilbert空间H⊙K上的上三角算子矩阵MC=[0ACB]的Kato本质谱摄动。
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| 关 键 词： | Kato谱；本质谱；Fredholm算子 |
| 收稿时间： | 2009-05-21 |
On the perturbation of the Kato essential spectra for upper triangular operator matrices |
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| WANG Ji-rong,CAO Xiao-hong. On the perturbation of the Kato essential spectra for upper triangular operator matrices[J]. Journal of Shandong University, 2010, 45(3): 90-95 |
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| Authors: | WANG Ji-rong CAO Xiao-hong |
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| Affiliation: | 1. Department of Mathematics, Yuncheng University, Yuncheng 044000, Shanxi, China;2. College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China |
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| Abstract: | Let σ_(ek)(T) =σ_e,(T) ∪σ_k(T) be the Kato essential spectra for bounded linear operator T, where σ_e,(T) and σ_k(T) denote the Kato spectrum and essential spectrum for T respectively. The perturbations of the Kato essential for an upper triangular operator matrices such as M_c=(ACOB)acting on a Hilbert space H ОK are studied |
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| Keywords: | Kato spectrum essential spectrum Fredholm operator |
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