## Log majorization and complementary Golden-Thompson type inequalities.(English)Zbl 0793.15011

The authors obtain a log majorization result for power means of positive semidefinite matrices. Logarithmic trace inequalities and determinant inequalities are reduced as applications of their results.

### MSC:

 15A45 Miscellaneous inequalities involving matrices 15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
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### References:

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