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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. |
| 关键词: 算子单调函数 积引理 积定理 控制 |
| DOI： |
| 分类号:O177.1 |
| 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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| SOME OPERATOR INEQUALITIES OF MONOTONE FUNCTIONS CONTAINING FURUTA INEQUALITY |
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YANG Chang-sen,YANG Chao-jun
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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. |
| Key words: operator monotone function product lemma product theorem majorization |
