*-Aluthge变换的值域性质 |
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引用本文: | 申俊丽.*-Aluthge变换的值域性质[J].新乡学院学报(自然科学版),2009,26(6):3-4. |
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作者姓名: | 申俊丽 |
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作者单位: | 新乡学院,数学系,河南,新乡,453000 |
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摘 要: | 研究了*-Aluthge变换的值域性质:当λ≠0时,ran(T—λ)是闭的当且仅当ran(T^(*)-λ)是闭的。当λ≠0时,ran(T-λ)^n=ran(T—λ)^(n+1)当且仅当ran(T^(*)-λ)^n+1。
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关 键 词: | *-Aluthge变换 下有界 值域 |
The Range Properties of *-Aluthge Transformation |
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Authors: | SHEN Jun-li |
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Institution: | SHEN Jun-li ( Department of Mathematics, Xinxiang University, Xinxiang 453000, China) |
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Abstract: | In this paper, we study the range properties of *-Aluthge transformation. If λ ≠ 0 , ran(T--λ) is closed if and only if ran(T^(*)-λ) is closed. Ir λ ≠ 0 , ran(T--λ)^n = ran(T--λ)^n+1 if and only if ran(T^(*)-λ)^n=ran(T^(*)-λ)^(n+1). |
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Keywords: | *-Aluthge transformation bounded below range |
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