| 从矩阵迹关系过渡到算子迹关系的一个通用方法 |
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| 引用本文： | 周其生,鲁世杰.从矩阵迹关系过渡到算子迹关系的一个通用方法[J].高校应用数学学报(A辑),1997(1):19-24. |
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| 作者姓名： | 周其生 鲁世杰 |
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| 作者单位： | [1]安庆师范学院 [2]浙江大学 |
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| 摘 要： | 本文给出了一个将矩阵迹的不等式推广为Ｈｉｌｂｅｒｔ空间中算子迹的不等式的方法，并用它较简捷地将矩阵论中Ｂｅｌｌｍａｎ问题的已有结果以及其它一些矩阵迹的不等式推广为算子迹的相应不等式。
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| 关 键 词： | 不等式 矩阵迹 算子迹 Bellman问题 |
A GENERAL METHOD FROM SOME RESULTS ON THE TRACE OF MATRICES TO OPERATORS |
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| Zhou Qisheng.A GENERAL METHOD FROM SOME RESULTS ON THE TRACE OF MATRICES TO OPERATORS[J].Applied Mathematics A Journal of Chinese Universities,1997(1):19-24. |
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| Authors: | Zhou Qisheng |
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| Abstract: | In this paper, we give a general method extending the inequalities on trace of matrices to that of operators in Hilbert spaces. Using this method we more simply extend the known results on Bellman problem as well as other inequalities on trace of matrices to those of operators. |
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| Keywords: | Operator Trace Inequality |
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