| 带有Radon-Nikodym导数的算子值自由Fisher信息量 |
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| 引用本文： | 孟彬,郭懋正. 带有Radon-Nikodym导数的算子值自由Fisher信息量[J]. 数学杂志, 2009, 29(1) |
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| 作者姓名： | 孟彬 郭懋正 |
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| 作者单位： | 1. 南京航空航天大学数学系,江苏南京,210016;北京大学数学科学学院,北京,100871
2. 北京大学数学科学学院,北京,100871 |
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| 摘 要： | 本文研究了带有Radon-Nikodym导数的算子值自由Fisher信息量.利用模框架理论,得到了一个半圆元和一个子代数之间的合并自由关系,推广了D.Voiculescu等人的工作.
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| 关 键 词： | 共轭元 算子值自由Fisher信息量 Hilbert C*-模 模框架 |
OPERATOR-VALUED FREE FISHER INFORMATION WITH RADON-NIKODYM DERIVATIVES |
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| MENG Bin,GUO Mao-zheng. OPERATOR-VALUED FREE FISHER INFORMATION WITH RADON-NIKODYM DERIVATIVES[J]. Journal of Mathematics, 2009, 29(1) |
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| Authors: | MENG Bin GUO Mao-zheng |
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| Abstract: | In this paper, we study the operator-valued free Fisher information with Radon-Nikodym derivatives.By using modular frame theory,we obtain an amalgamated free relation between a semicircular variable and a sub-algebra.These are the generalizations of the results of D.Voiculescu and others. |
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| Keywords: | conjugate variable operator-valued free Fisher information Hilbert C*-module modular frame |
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