| (ω)性质及Weyl型定理 |
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| 引用本文： | 曹小红,孙晨辉,戴磊.(ω)性质及Weyl型定理[J].数学学报,2010,53(1):75-82. |
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| 作者姓名： | 曹小红 孙晨辉 戴磊 |
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| 作者单位： | 陕西师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10726043); 教育部新世纪优秀人才支持计划资助项目 |
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| 摘 要： | (ω)性质是Rakocevic给出的Weyl定理的一种变化.本文通过定义新的谱集,给出了有界线性算子同时满足(ω)性质和a-Weyl定理的充要条件.同时,利用所得的主要结论,研究了H(p)算子的(ω)性质.
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| 关 键 词： | (ω)性质 α-Weyl定理 谱 |
| 收稿时间： | 2008-10-20 |
| 修稿时间： | 2009-04-09 |
Property (ω) and Weyl Type Theorem |
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| Xiao Hong CAO Chen Hui SUN Lei DAI College of Mathematics , Information Science,Shaanxi Normal University,Xi\'an ,P.R.China.Property (ω) and Weyl Type Theorem[J].Acta Mathematica Sinica,2010,53(1):75-82. |
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| Authors: | Xiao Hong CAO Chen Hui SUN Lei DAI College of Mathematics Information Science Shaanxi Normal University Xi\'an PRChina |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, P. R. China |
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| Abstract: | In this note we study the property (ω), a variant of Weyl's theorem introduced by Rakocevic, by means the new spectrum. We establish for a bounded linear operator defined on a Banach space a sufficient and necessary condition for which both property (ω) and a-Weyl's theorem hold. As a consequence of the main result, we study the property (ω) and a-Weyl's theorem for H(P) operators.
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| Keywords: | property (&omega ) a-Weyl&rsquo s theorem spectrum |
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