| Property (ω) for operator matrices |
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| 作者姓名： | TIAN Junhong CAO Xiaohong SUN Chenhui |
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| 作者单位： | College of Mathematics and Statistics, Tianshui Normal University;College of Mathematics and Information Science, Shaanxi Normal University |
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| 基金项目： | Supported by the Fundamental Research Funds for the Central Universities(GK200901015);Project for Outstanding Young and Middle-aged Researchers initiated by Tianshui Normal University(TSY201205) |
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| 摘 要： | In this note,property (ω)and property 1 (ω)are variants of Weyl’s theorem. By means of topological uniform descent, the sufficient and necessary conditions of a bounded linear operator defined on a Hilbert space that satisfies property 1 (ω) and property (ω)is studied. Moreover, property 1 (ω)and property (ω)of 2 2operator matrices are discussed as well.
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| 关 键 词： | property 1 (ω) property (ω) topological uniform descent |
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