| 关于算子迹的Hder不等式的等价命题 |
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| 引用本文： | 周其生. 关于算子迹的Hder不等式的等价命题[J]. 安庆师范学院学报(自然科学版), 2004, 0(4) |
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| 作者姓名： | 周其生 |
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| 作者单位： | 安庆师范学院数学系 安徽安庆 246011 |
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| 摘 要： | 本文将JanR.Magnus关于矩阵迹的一个命题推广到Hilbert空间上算子迹的相应命题,由此得到一个证明算子迹的HO ¨der不等式的方法,同时得到关于算子迹的HO ¨lder不等式的几个等价命题。最后给出算子迹的Minkowski不等式的一个证明。
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| 关 键 词： | 矩阵 算子 迹 Hlder不等式 |
Equal Representaion of Hlder's Inequality on Operator-Trace |
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| ZHOU Qi-sheng. Equal Representaion of Hlder's Inequality on Operator-Trace[J]. Journal of Anqing Teachers College(Natural Science Edition), 2004, 0(4) |
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| Authors: | ZHOU Qi-sheng |
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| Abstract: | In this paper,we extend a proposition on trace of matrix by Jan R.Magnus to that of operator in Hilbert space.Using this proposition,we obtain a method to prove Hlder's Inequality on trace of operator as well as equal propositions on it.In addition,we apply this proposition to prove Minkowski's inequality on trace of operator trace. |
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| Keywords: | matrix operator trace Hlder inequality |
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