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Several new inequalities on operator means of non-negative maps and Khatri–Rao products of positive definite matrices

机译:正定矩阵的非负映射和Khatri-Rao乘积的算子均值上的几个新不等式

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In this paper, we provide some interested operator inequalities related with non-negative linear maps by means of concavity and convexity structure, and also establish some new attractive inequalities for the Khatri–Rao products of two or more positive definite matrices. These results lead to inequalities for Hadamard product and Ando’s and α -power geometric means, as a special case.
机译:在本文中,我们通过凹凸结构提供了一些与非负线性映射有关的感兴趣的算子不等式,并且为两个或多个正定矩阵的Khatri-Rao乘积建立了一些新的吸引不等式。这些结果会导致Hadamard乘积以及Ando和α幂几何平均值的不等式,这是特例。

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