算子迹算术-几何平均不等式  

An Operator Trace Inequality—Geometric Mean Inequality

作　　者：刘磊[1] 张建华[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《西安文理学院学报（自然科学版）》2006年第3期80-81,共2页Journal of Xi’an University(Natural Science Edition)

基　　金：陕西省自然科学基础研究计划项目(2004A17)

摘　　要：利用泛函分析方法将半正定矩阵迹不等式|tr(A1A2…Am)|1m≤1m(trA1+trA2+…+trAm)推广到Hilbert空间,并得到相应的正迹类算子不等式.Operator trace inequality is widely applicable in the operator theory. There are a lot of results in the case of finite dimensions, i.e. matrix trace inequality. By the method of functional analysis, the trace inequality of positive semi- definite matrix was generalized to Hilbert space, and the same conclusion was reached for positive0 - trace- class operators.

关 键 词：HILBERT空间 正迹类算子 不等式 

分 类 号：O177.1[理学—数学]