| Duggal变换与Aluthge变换的数值域 |
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| 引用本文： | 刘秀梅.Duggal变换与Aluthge变换的数值域[J].浙江师范大学学报(自然科学版),2010,33(1):18-21. |
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| 作者姓名： | 刘秀梅 |
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| 作者单位： | 浙江师范大学,行知学院,浙江,金华,321004 |
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| 基金项目： | 国家自然科学基金资助项目，浙江省教育厅科研项目 |
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| 摘 要： | 设A是作用在复Hilbert空间H上的有界线性算子,证明了A的Duggal变换的数值域包含于A的数值域;同时,利用简洁的方法证明了A的Aluthge变换的数值域等于A的*-Aluthge变换的数值域.
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| 关 键 词： | Duggal变换 Aluthge变换 ＊-Aluthge变换 数值域 |
Numerical range of the Duggal transform and Aluthge transform |
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| LIU Xiumei.Numerical range of the Duggal transform and Aluthge transform[J].Journal of Zhejiang Normal University Natural Sciences,2010,33(1):18-21. |
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| Authors: | LIU Xiumei |
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| Institution: | LIU Xiumei(Xingzhi College,Zhejiang Normal University,Jinhua Zhejiang 321004,China) |
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| Abstract: | Let A be a bounded linear operator on a complex Hilbert space H.It was proved that the numerical range of the Duggal transform of A was contained in that of A.It was also proved that the numerical range of the Aluthge transform of A was equal to that of the *-Aluthge transform of A by a simplified method. |
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| Keywords: | Duggal transform Aluthge transform *-Aluthge transform numerical range |
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