| 一些蕴含Furuta不等式的算子单调函数的算子不等式 |
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| 引用本文： | 杨长森,杨朝军.一些蕴含Furuta不等式的算子单调函数的算子不等式[J].数学杂志,2017,37(4):698-704. |
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| 作者姓名： | 杨长森 杨朝军 |
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| 作者单位： | 河南师范大学数学与信息科学学院, 河南 新乡 453007,河南师范大学数学与信息科学学院, 河南 新乡 453007 |
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| 基金项目： | Supported by National Natural Science Foundation of China (11271112; 11201127) and Technology and the Innovation Team in Henan Province (14IRTSTHN023). |
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| 摘 要： | 本文研究了算子不等式与算子单调函数之间的联系.利用关于算子单调函数的乘积引理，乘积定理等基本控制原理，给出许多算子不等式，这些不等式可包含正算子理论中应有十分广泛的Furuta不等式.
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| 关 键 词： | 算子单调函数 积引理 积定理 控制 |
| 收稿时间： | 2015/9/21 0:00:00 |
| 修稿时间： | 2015/12/11 0:00:00 |
SOME OPERATOR INEQUALITIES OF MONOTONE FUNCTIONS CONTAINING FURUTA INEQUALITY |
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| YANG Chang-sen and YANG Chao-jun.SOME OPERATOR INEQUALITIES OF MONOTONE FUNCTIONS CONTAINING FURUTA INEQUALITY[J].Journal of Mathematics,2017,37(4):698-704. |
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| Authors: | YANG Chang-sen and YANG Chao-jun |
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| Institution: | College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China and College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China |
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| Abstract: | In this paper, we study the relations between the operator inequalities and the operator monotone functions. By using the fundamental conclusions based on majorization, namely, product lemma and product theorem for operator monotone functions, we can give some operator inequalities. This result contains the Furuta inequality, which has a huge impact on positive operator theory. |
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| Keywords: | operator monotone function product lemma product theorem majorization |
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