| Hilbert空间上算子的Sharp序 |
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| 引用本文： | 钟金,刘晓冀.Hilbert空间上算子的Sharp序[J].山东大学学报(理学版),2010,45(4):82-85. |
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| 作者姓名： | 钟金 刘晓冀 |
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| 作者单位： | 广西民族大学数学与计算机科学学院,广西,南宁,530006 |
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| 基金项目： | 广西壮族自治区自然科学基金 |
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| 摘 要： | 定义了Hilbert空间上两个线性算子间的Sharp序关系,给出Sharp序的一些性质及等价刻画,得到两个算子乘积反序律成立的条件,并讨论两个算子扰动后仍保持Sharp序的条件。
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| 关 键 词： | 算子 Sharp序 广义逆 偏序 |
| 收稿时间： | 2009-01-18 |
On the sharp ordering for Hilbert space operators |
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| ZHONG Jin,LIU Xiao-ji.On the sharp ordering for Hilbert space operators[J].Journal of Shandong University,2010,45(4):82-85. |
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| Authors: | ZHONG Jin LIU Xiao-ji |
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| Institution: | Department of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, China |
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| Abstract: | The sharp ordering for Hilbert space operators is defined. Some properties and equivalent characterizations are established. Also, the condition for the reverse order law of two operators is obtained and the condition for sharp ordering under perturbation remains hold is discussed.
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| Keywords: | operators sharp ordering generalized inverse partial ordering |
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