| k-拟-A算子的性质 |
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| 引用本文： | 左飞,王艳玲,申俊丽.k-拟-A算子的性质[J].河南师范大学学报(自然科学版),2012,40(3):11-13. |
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| 作者姓名： | 左飞 王艳玲 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： | 河南省基础与前沿技术研究计划项目，河南省教育厅科学技术研究重点项目 |
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| 摘 要： | 设T是无穷维可分的希尔伯特空间H上的k-拟-A算子,证明了T的B-Weyl谱满足谱映射定理.更重要,若T或T*是k-拟-A算子,则广义Weyl定理对T成立.另外,若T*是k-拟-A算子,则广义a-Weyl定理对T成立.
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| 关 键 词： | k-拟-A类算子 单值扩展性质 广义a-Weyl定理 |
Properties of k -quasi-A Operator |
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| ZUO Fei
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WANG Yan-ling
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SHEN Jun-li.Properties of k -quasi-A Operator[J].Journal of Henan Normal University(Natural Science),2012,40(3):11-13. |
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| Authors: | ZUO Fei WANG Yan-ling SHEN Jun-li |
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| Institution: | 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: | If T is a k-quasi-A operator acting on an infinite dimensional separable Hilbert space H,then it is proved that B-Weyl spectrum of T satisfies the spectral mapping theorem.Moreover,if T or T* is a k-quasi-A operator,then generalized Weyl’s theorem holds for T.Also,if T* is an k-quasi-A operator,then generalized a-Weyl’s theorem holds for T. |
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| Keywords: | k-quasi-A operators single valued extension property generalized a-Weyl’s theorem |
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