| 算子单调函数f_2(t)=(tlog~2t-2tlogt+2t-2)/(log~3t)的推广 |
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| 引用本文： | 王美燕,姜健飞.算子单调函数f_2(t)=(tlog~2t-2tlogt+2t-2)/(log~3t)的推广[J].东华大学学报(自然科学版),2010,36(1). |
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| 作者姓名： | 王美燕 姜健飞 |
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| 作者单位： | 东华大学理学院,上海,201620 |
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| 基金项目： | 上海市教委曙光计划项目 |
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| 摘 要： | 介绍Hilbert空间H上两严格正算子A,B,在严格混沌序下的函数族g_k(t)=(kt~klog~(k+1)t-2(tlogt)~k+2(t-1)~k)/(log~(k+2)t),(jk(t)=((t-1)~k)-log~kt-k(log~(k+1)t/2/(log~(k+2)t),(k=1,2,…)的算子单调性,推广了IZUMINO和NAKAMURA的结果.
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| 关 键 词： | Hilbert空间 算子单调函数 正算子 |
The Extensions of Operator Monotone Function f_2(t)=(tlog~2t-2tlogt+2t-2)/log~3t |
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| WANG Mei-yan,JIANG Jian-fei.The Extensions of Operator Monotone Function f_2(t)=(tlog~2t-2tlogt+2t-2)/log~3t[J].Journal of Donghua University,2010,36(1). |
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| Authors: | WANG Mei-yan JIANG Jian-fei |
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| Abstract: | Under strictly chaotic order,the operator monotonicities of two sequences of functions g_k(t)=kt~klog~(k+1)t-2(tlogt)~k+2(t-1)~k/log~(k+2)t,j~k(t)=(t-1)~k-log~kt-klog~(k+1)t/2/log~(k+2)t,k=1,2…,are introduced,and the results of IZUMINO and NAKAMURA are generalized. |
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| Keywords: | Hilbert space operator monotone function positive operator |
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