In this note,for a C*-algebra A,we study the properties of a matrix-trace on the C*-algebra Mn(A) which is a positive linear mapping τ:Mn(A)→A,such that τ(u*au)=τ(a)(a∈Mn(A)),u∈U(Mn(A)) and τ(a2)≤(τ(a))2(a≥0),and obtain some inequalities on arithmetic-geometric mean.
在讨论这种矩阵迹的性质的基础上,得到几个算术-几何平均不等式。
Remarks on arithmetic-geometric mean and geometric-harmonic mean;
算术-几何平均值与几何-调和平均值的注记