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带有Radon-Nikodym导数的算子值自由Fisher信息量(英文)

OPERATOR-VALUED FREE FISHER INFORMATION WITH RADON-NIKODYM DERIVATIVES
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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. 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.
作者 孟彬 郭懋正
出处 《数学杂志》 CSCD 北大核心 2009年第1期43-48,共6页 Journal of Mathematics
基金 Supported by Chuangxin Foundation of NUAA(No .1008-958711)
关键词 共轭元 算子值自由Fisher信息量 HILBERT C*-模 模框架 conjugate variables operator-valued free Fisher information
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参考文献7

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