| $(\omega)$性质及其摄动 |
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| 引用本文： | 辛巧玲,曹小红.$(\omega)$性质及其摄动[J].数学研究及应用,2012,32(4):450-458. |
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| 作者姓名： | 辛巧玲 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, 陕西 西安 710062;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： | 中央高校基本科研业务费专项资金 (Grant No.GK200901015). |
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| 摘 要： | In the note,we establish for a bounded linear operator defined on a Hilbert space the necessary and sufficient conditions for the stability of property(ω) by means of the variant of the essential approximate point spectrum and the induced spectrum of consistency in Fredholm and index.In addition,the stability of property(ω) for H(P) operators is considered.
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| 关 键 词： | property(ω) perturbation consistency in Fredholm and index. |
| 收稿时间： | 2010/12/30 0:00:00 |
| 修稿时间： | 2011/12/19 0:00:00 |
Property $(\omega)$ and Its Perturbations |
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| Qiaoling XIN and Xiaohong CAO.Property $(\omega)$ and Its Perturbations[J].Journal of Mathematical Research with Applications,2012,32(4):450-458. |
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| Authors: | Qiaoling XIN and Xiaohong CAO |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi 710062, P. R. China;College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi 710062, P. R. China |
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| Abstract: | In the note, we establish for a bounded linear operator defined on a Hilbert space the necessary and sufficient conditions for the stability of property $(\omega)$ by means of the variant of the essential approximate point spectrum and the induced spectrum of consistency in Fredholm and index. In addition, the stability of property $(\omega)$ for $H(P)$ operators is considered. |
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| Keywords: | property $(\omega)$ perturbation consistency in Fredholm and index |
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