| k-拟-*-A算子的谱性质及其应用 |
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| 引用本文： | 左飞,申俊丽.k-拟-*-A算子的谱性质及其应用[J].数学的实践与认识,2011,41(15). |
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| 作者姓名： | 左飞 申俊丽 |
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| 作者单位： | 1. 河南师范大学数学与信息科学学院,河南新乡,453007
2. 新乡学院数学系,河南新乡,453000 |
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| 基金项目： | 教育部科技司(208081) |
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| 摘 要： | 主要给出k-拟-*-A算子的谱性质及其应用,若T是k-拟-*-A算子且N(T)■N(T~*),则Weyl谱的谱映射定理及本质近似点谱的谱映射定理成立;若T是k-拟-*-A算子,N(T)■N(T~*)且S～T,则a-Browder's定理对f(S)成立,其中f∈H(σ(S)).
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| 关 键 词： | k-拟--A算子 Weyl谱 本质近似点谱 a-Browder's定理 |
The Spectrum Properties of K-Quasi-*-A Operator and its Application |
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| ZUO Fei,SHEN Jun-li.The Spectrum Properties of K-Quasi-*-A Operator and its Application[J].Mathematics in Practice and Theory,2011,41(15). |
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| Authors: | ZUO Fei SHEN Jun-li |
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| Institution: | ZUO Fei~1,SHEN Jun-li~2 (1.College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China) (2.Department of Mathematics,XinXiang University,Xinxiang 453000,China) |
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| Abstract: | This thesis is devoted to introduce the spectrum properties of k-quasi-*-A operator and its application,such as if T is a k-quasi-*-A operator and N(T)■N(T~*),then the spectral mapping theorem holds for the Weyl spectrum and for the essential approximate point spectrum,and if T is a k-quasi-*-A operator and N(T)■N(T*),S～T,then a-Browder's theorem holds for every f∈H(σ(S)). |
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| Keywords: | k-quasi-*-A operator Weyl spectrum essential approximate point spectrum a-Browder's theorem |
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