| 算子有限秩摄动的广义(ω′)性质 |
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| 作者姓名： | 刘俊英 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 710062 |
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| 基金项目： | Supported by NNSF of China (10726043); Plan of The New Century Talented Person of Education Ministry (2006) and the Fundamental Research Funds for the Central Universities (GK200901015) |
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| 摘 要： | 广义(ω')性质是Weyl型定理的一种新变化.利用由一致Fredholm指标算子定义的新谱集, 研究了算子T摄动有限秩算子后的广义(ω')性质, 其中T是a-isoloid的, 并将主要结果应用于几类算子.
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| 关 键 词： | 广义(ω′)性质 一致Fredholm指标算子 谱 Weyl定理 |
| 收稿时间： | 2010-10-08 |
| 修稿时间： | 2010-11-23 |
Generalized property (ω') of finite rank perturbations of operators |
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| Authors: | LIU Jun-Ying CAO Xiao-Hong |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China |
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| Abstract: | We define the generalized property (ω'), a variant of Weyl's theorem. By means of the new spectrum defined in view of the property of consistency in Fredholm and index, we consider the preservation of generalized property (ω') under a finite rank perturbation commuting with T, whenever T is a-isoloid. The theory is illustrated in the case of some special classes of operators. |
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| Keywords: | generalized property (ω′) consistent Fredholm and index operators spectrum Weyl’s theorem |
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