| Hilbert空间中算子和的Drazin逆的表示 |
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| 引用本文： | 陈艳妮.Hilbert空间中算子和的Drazin逆的表示[J].西安文理学院学报,2006,9(3):12-16. |
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| 作者姓名： | 陈艳妮 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 陕西西安710062，陕西理工学院数学系，陕西汉中723001 |
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| 摘 要： | 基于对可逆算子的系统研究,引入了Drazin可逆算子的相关性质.利用算子分块的方法,讨论了幂零算子与Drazin可逆的算子以及两个Drazin可逆的算子的和是否Drazin可逆的相关问题,并分别给出了其Drazin逆的具体刻画.
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| 关 键 词： | Drazin可逆 幂等算子 |
| 文章编号： | 1008-5564(2006)03-0012-05 |
| 收稿时间： | 03 31 2006 12:00AM |
| 修稿时间： | 2006年3月31日 |
Drazin Inverse of Operational Sum on Hilbert Space |
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| CHEN Yan-ni.Drazin Inverse of Operational Sum on Hilbert Space[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2006,9(3):12-16. |
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| Authors: | CHEN Yan-ni |
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| Abstract: | Based on a systematic study of invertible operators,some relevant properties about Drazin invertible operators were introduced.By the method of operational partitioning,such problems as whether the sum of nilpotent operators and Drazin invertible operators as well as the sum of two Drazin invertible operators are Drazin invertible were discussed.Respective formulae were also put forward. |
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| Keywords: | Drazin inverse nilpotent operators |
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