| 正规算子和亚正规算子的一些特征 |
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| 引用本文： | 杜鸿科.正规算子和亚正规算子的一些特征[J].数学研究及应用,1984,4(2):21-23. |
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| 作者姓名： | 杜鸿科 |
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| 作者单位： | 陕西师大数学系 |
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| 摘 要： | In this paper it is proved that if T is a bounded linear operator on a Hilbert space H and λ(?)c1(W(T)), where cl(W(T)) is the closure of W(T)={(Tx, x); x∈H, ‖x‖ =1}, then T is normal iff Uλ=(T-λ)*-1 (T-λ) is hyponormal and T is hyponormal iff Uλ=(T-λ)*-1 (T-λ) is normaliod.
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| 收稿时间： | 9/4/1981 12:00:00 AM |
Some Characterizations of Normal and Hyponormal Operators |
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| Du Hongke.Some Characterizations of Normal and Hyponormal Operators[J].Journal of Mathematical Research with Applications,1984,4(2):21-23. |
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| Authors: | Du Hongke |
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| Institution: | Shanxi Normal University |
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| Abstract: | |
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