论文标题
操作员的不平等和特征
Operator inequalities and characterizations
论文作者
论文摘要
在这项调查中,我们将以与算术几何平均不平等相关的操作员不平等的方面来介绍一些杰出的希尔伯特界线线性运算符(即正常运算符,自我相关操作员和统一操作员)的特征。对于所有正常运营商的类别,我们将提出新的一般特征。
In this survey, we shall present characterizations of some distinguished classes of Hilbertian bounded linear operators (namely, normal operators, selfadjoint operators, and unitary operators) in terms of operator inequalities related to the arithmetic-geometric mean inequality. For the class of all normal operators, we shall present new general characterizations.