| A-Browder＇s Theorem and Generalized a-Weyl＇s Theorem |
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| 作者姓名： | Xiao Hong CAO |
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| 作者单位： | College of Mathematics and Information Science, Shaanxi Normal University |
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| 基金项目： | Acknowledgment We are grateful to the referees for helpful comments concerning this paper. |
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| 摘 要： | Two variants of the essential approximate point spectrum are discussed. We find for example that if one of them coincides with the left Drazin spectrum then the generalized a-Weyl＇s theorem holds, and conversely for a-isoloid operators. We also study the generalized a-Weyl＇s theorem for Class A operators.
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| 关 键 词： | A-Browder定理 广义a-Weyl定理 谱 hermitian算子 |
| 收稿时间： | 25 October 2004 |
| 修稿时间： | 2004-10-252005-03-23 |
A-Browder’s Theorem and Generalized a-Weyl’s Theorem |
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| Xiao Hong CAO.A-Browder’s Theorem and Generalized a-Weyl’s Theorem[J].Acta Mathematica Sinica,2007,23(5):951-960. |
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| Authors: | Xiao Hong Cao |
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| Institution: | (1) College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, P. R. China |
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| Abstract: | Two variants of the essential approximate point spectrum are discussed. We find for
example that if one of them coincides with the left Drazin spectrum then the generalized a-Weyl’s
theorem holds, and conversely for a-isoloid operators. We also study the generalized a-Weyl’s theorem
for Class A operators. |
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| Keywords: | a-Browder’ s theorem generalized a-Weyl’ s theorem spectrum |
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