| 关于算子加权广义逆的反序律 |
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| 引用本文： | 钟金,刘晓冀.关于算子加权广义逆的反序律[J].数学杂志,2011,31(2):299-306. |
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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： | 国家自然科学基金，教育部科技重点项目 |
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| 摘 要： | 本文研究了Hilbert空间上两个算子乘积的加权广义逆的反序律.利用算子的分块矩阵表示,获得了两个算子加权广义逆反序律成立的充要条件,所获结果推广了孙文瑜,魏益民和Djordjevic Dragan S.的相关结果.
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| 关 键 词： | 算子 反序律 加权广义逆 |
ON THE REVERSE ORDER LAWS FOR WEIGHTED GENERALIZED INVERSES OF OPERATORS |
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| ZHONG Jin,LIU Xiao-ji.ON THE REVERSE ORDER LAWS FOR WEIGHTED GENERALIZED INVERSES OF OPERATORS[J].Journal of Mathematics,2011,31(2):299-306. |
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| Authors: | ZHONG Jin LIU Xiao-ji |
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| Institution: | ZHONG Jin,LIU Xiao-ji (College of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006,China) |
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| Abstract: | In this article,we study the reverse order laws for weighted generalized inverse of the product of two operators on Hilbert spaces.By utilizing the block matrix expressions of operators,the necessary and sufficient conditions for the reverse order laws for weighted generalized inverse are presented,which extend the corresponding results by Sun Wenyu,Wei Yimin and Djordjevic Dragan S.. |
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| Keywords: | operators reverse order laws weighted generalized inverse |
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