带有Radon-Nikodym导数的算子值自由Fisher信息量

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.