| 代数拟-A类算子的谱性质 |
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| 引用本文： | 左飞,申俊丽. 代数拟-A类算子的谱性质[J]. 信阳师范学院学报(自然科学版), 2012, 0(2): 160-163 |
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| 作者姓名： | 左飞 申俊丽 |
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| 作者单位： | 河南师范大学数学与信息科学学院;新乡学院数学系 |
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| 基金项目： | 国家自然科学基金天元青年专项基金(10726073);教育部科技司资助项目(208081);河南省教育厅自然科学研究计划项目(2011A110010) |
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| 摘 要： | 证明了若T是代数拟-A类算子,则广义Weyl定理对f(T)成立,其中f∈H(σ(T)),且T的B-Weyl谱满足谱映射定理.若T*是代数拟-A类算子,则广义a-Weyl定理对T成立.
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| 关 键 词： | 代数拟-A类算子 单值扩展性质 广义a-Weyl定理 |
The Spectrum Properties of Algebraically Quasi-A Operators |
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| ZUO Fei,SHEN Jun-li. The Spectrum Properties of Algebraically Quasi-A Operators[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2012, 0(2): 160-163 |
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| Authors: | ZUO Fei SHEN Jun-li |
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| Affiliation: | 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: | It was proved that if T is an algebraically quasi-A operators,then the generalized Weyl’s theorem holds for f(T) where f∈H(σ(T)),and the B-Weyl spectrum of T satisfies the spectral mapping theorem.If T* is an algebraically quasi-A operators,then the generalized a-Weyl’s theorem holds for T. |
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| Keywords: | algebraically quasi-A operators single valued extension property generalized a-Weyl’s theorem |
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