| 线性算子的正逼近 |
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| 引用本文： | 贾云锋.线性算子的正逼近[J].兰州大学学报(自然科学版),2006,42(1):95-97. |
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| 作者姓名： | 贾云锋 |
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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 |
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| 摘 要： | 讨论了二维Hilbert空间上线性算子正逼近的唯一性;对无限维Hilbert空间上存在唯一正逼近的线性算子进行了刻画;给出了一类线性算子不存在唯一正逼近的充分条件.
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| 关 键 词： | 线性算子 正算子 正逼近 Cartesian分解 Halmos正逼近 |
| 文章编号： | 0455-2059（2006）01-0095-03 |
| 收稿时间： | 2004-05-28 |
| 修稿时间： | 2004-05-28 |
Positive approximations on linear operators |
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| JIA Yun-feng.Positive approximations on linear operators[J].Journal of Lanzhou University(Natural Science),2006,42(1):95-97. |
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| Authors: | JIA Yun-feng |
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| Abstract: | The uniqueness of positive approximation for linear operators on two-dimensional Hilbert space is discussed in detail. In an infinite-dimensional case, a characterization is given when the unique positive approximation of a linear operator exists. Finally, a sufficient condition for some linear operators is presented if their unique positive approximations do not exist. |
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| Keywords: | linear operator positive operator positive approximation Cartesian demcomposition Halmos positive approximation |
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