| 双正常算子及其性质 |
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| 引用本文： | 王公宝.双正常算子及其性质[J].海军工程大学学报,1997(4). |
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| 作者姓名： | 王公宝 |
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| 作者单位： | 海军工程学院基础部 |
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| 摘 要： | 讨论Hilbert空间上具有A A与AA可交换的算子类的性质及其刻画,考察这类算子与其它算子类的关系,并给出了一些例子,用以说明有关算子类的包含关系.
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| 关 键 词： | Hilbert空间 双正常算子 拟正常算子 移位算子 亚正常算子 |
Binormal Operators and Their Properties |
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| Wang Gongbao.Binormal Operators and Their Properties[J].Journal of Naval University of Engineering,1997(4). |
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| Authors: | Wang Gongbao |
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| Institution: | Wang Gongbao |
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| Abstract: | In this paper we study the operators A for which A* A and AA* Commute, and obtain some properties of this operator class. Relations among several operator classes are investigated. Some examples are given. We also present a sufficient and necessary condition for A to be binomial. |
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| Keywords: | Hilbert space Binormal operators Quasinormal operators Shift operators Hyponormal operators |
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