| 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 |
| $(\omega)$性质及其摄动 |
| Property $(\omega)$ and Its Perturbations |
| 投稿时间：2010-12-30 修订日期：2011-12-19 |
| DOI：10.3770/j.issn:2095-2651.2012.04.009 |
| 中文关键词: $(\omega)$性质 摄动 一致Fredholm指标算子. |
| 英文关键词:property $(\omega)$ perturbation consistency in Fredholm and index. |
| 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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| 中文摘要: |
| 根据本质逼近点谱的变形与一致Fredholm指标算子定义的谱集, 本文给出了Hilbert空间上有界线性算子$(\omega)$性质摄动的充要条件, 并且研究了$H(P)$算子$(\omega)$性质的摄动. |
| 英文摘要: |
| 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 $(\omega)$ 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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