| 两个Hilbert Schmidt不等式(英文) |
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| 引用本文： | 孙秀红,李愿.两个Hilbert Schmidt不等式(英文)[J].数学进展,2011(5). |
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| 作者姓名： | 孙秀红 李愿 |
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| 作者单位： | 西安科技大学理学院;陕西师范大学数学与信息科学学院; |
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| 基金项目： | supported by NSFC(No.10871224,No.11001159); the Fundamental Research Funds for the Central Universities(No.GK200902049,No.GK201002012); Scientific Research Program Funded by Shaanxi Provincial Education Department(No.11JK0475) |
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| 摘 要： | 设A和B是Hilbert Schmidt算子,U(H)是希尔伯特空间H上酉算子的全体.本文推广了两个矩阵的迹等式,对Hilbert Schmidt算子获得了相应的结论,给出了trAB,sup{‖A—UB‖_2:U∈U(H)}和inf{‖A—UB‖_2:U∈U(H)}的表示.
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| 关 键 词： | Hilbert Schmidt算子 迹 不等式 |
Two Hilbert Schmidt Operator Equalities |
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| SUN Xiuhong,LI Yuan.Two Hilbert Schmidt Operator Equalities[J].Advances in Mathematics,2011(5). |
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| Authors: | SUN Xiuhong LI Yuan |
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| Institution: | SUN Xiuhong~1,LI Yuan~(2,*) (1.School of Science,Xi'an University of Science and Technology,Xi'an,Shaanxi,710054,P.R. China,2.College of Mathematics and Information Science,Shaanxi Normal University,Xi 'an,710062,P.R.China) |
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| Abstract: | |
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| Keywords: | Hilbert Schmidt operator trace inequality |
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