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- W2043111379 abstract "We prove that the known sufficient conditions on the real parameters $(p,q)$ for which the matrix power mean inequality $((A^p+B^p)/2)^{1/p}le((A^q+B^q)/2)^{1/q}$ holds for every pair of matrices $A,B>0$ are indeed best possible. The proof proceeds by constructing $2times2$ counterexamples. The best possible conditions on $(p,q)$ for which $Phi(A^p)^{1/p}lePhi(A^q)^{1/q}$ holds for every unital positive linear map $Phi$ and $A>0$ are also clarified." @default.
- W2043111379 created "2016-06-24" @default.
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- W2043111379 date "2013-02-28" @default.
- W2043111379 modified "2023-10-12" @default.
- W2043111379 title "On matrix inequalities between the power means: counterexamples" @default.
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