| 两组算子单调函数序列与严格Chaotic序 |
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| 引用本文： | 张蕾,姜健飞.两组算子单调函数序列与严格Chaotic序[J].数学季刊,2006,21(4):597-607. |
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| 作者姓名： | 张蕾 姜健飞 |
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| 作者单位： | College of Basic Science Donghua University，College of Basic Science，Donghua University，Shanghai 200051，China，Shanghai 200051，China |
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| 摘 要： | In this paper we introduce two sequences of operator functions and their dual functions:f_k(t)=((tlog t)~k-(t-1)~k)/(log~k 1t)(k=1,2,...),gk(t)=((t-1)~k-log~k t)/(log~k 1t)(k=1,2,...)and f_k~*=(t~klog~(k 1)t)/((tlog t)~k-(t-1)~k)(k=1,2,...),g_k~*(t)=(t~klog~(k 1)t)/((t-1)~k-log~k t)(k=1,2,...)definedon(0, ∞). We find that they are all operator monotone functions with respect to the strictly chaotic order and some ordinary orders among positive invertible operators.Indeed,we extend the results of the operator monotone function(tlog t -t 1)/(log~2t)which is widely used in the theory of heat transfer of the heat engineering and fluid mechanics1].
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| 关 键 词： | 单调算子函数 混乱次序 正常次序 可逆转算子 |
Two Sequences of Operator Monotone Functions and Strictly Chaotic Order |
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| ZHANG Lei,JIANG Jian-fei.Two Sequences of Operator Monotone Functions and Strictly Chaotic Order[J].Chinese Quarterly Journal of Mathematics,2006,21(4):597-607. |
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| Authors: | ZHANG Lei JIANG Jian-fei |
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| Institution: | College of Basic Science, Donghua University, Shanghai 200051, China |
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| Abstract: | |
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| Keywords: | sequence of operator functions LSwner-Heinz inequality strictly Chaotic order |
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