| 算子矩阵的广义a-Weyl定理 |
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| 引用本文： | 徐军芹.算子矩阵的广义a-Weyl定理[J].青岛大学学报(自然科学版),2005,18(3):1-5. |
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| 作者姓名： | 徐军芹 |
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| 作者单位： | 青岛大学理工学院数学系,山东,青岛,266071 |
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| 基金项目： | 青岛大学科研基金200204资助. |
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| 摘 要： | 如果算子A的半B本质逼近点谱在点谱中的补集等于点谱中孤立特征值构成的集合,则称广义a-Weyl定理对A成立。广义a-Weyl定理对2×2算子矩阵不一定成立。给出了广义a-Weyl定理对2×2算子矩阵成立的充要条件及一些有用的推论。
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| 关 键 词： | a-Weyl定 广义a-Weyl定理 谱 |
| 文章编号： | 1006-1037（2005）03-0001-05 |
| 收稿时间： | 2005-01-21 |
| 修稿时间： | 2005年1月21日 |
Generalized a-Weyl's Theorem for Operator Matrices |
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| XU Jun-Qin.Generalized a-Weyl's Theorem for Operator Matrices[J].Journal of Qingdao University(Natural Science Edition),2005,18(3):1-5. |
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| Authors: | XU Jun-Qin |
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| Abstract: | Generalized a-Weyl's theorem holds for an operator when the complement in the approximate point spectrum of semiB essential approximate point spectrum coincides with the isolated points of the approximate point spectrum which are eigenvalues. Generalized a-Weyl's theorem is liable to fail for operator matrices. This paper explores how generalized a-Weyl's theorem survivs for operator matrices on the Hilbert space. In addition,some useful and interesting corollaries are derived. |
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| Keywords: | a-Weyl's theorem generalized a-Weyl's theorem spectrum |
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