94 citations · 128 across the 14 of their papers we have counts for
15 papers
Weak log-majorization and inequalities of power means
Miran Jeong, Sejong Kim
As non-commutative versions of the quasi-arithmetic mean, we consider the Lim-Pálfia's power mean, Rényi right mean and Rényi power means. We prove that the Lim-Pálfia's power mean…
Weak log-majorization between the geometric and Wasserstein means
Luyining Gan, Sejong Kim
There exist lots of distinct geometric means on the cone of positive definite Hermitian matrices such as the metric geometric mean, spectral geometric mean, log-Euclidean mean and…
Revisit on spectral geometric mean
Luyining Gan, Sejong Kim
In this paper we introduce the limit, unique solution of the nonlinear equations, geodesic property, tolerance relations and pinch on the spectral geometric mean for two positive d…
Right mean for the Bures-Wasserstein quantum divergence
Miran Jeong, Jinmi Hwang, Sejong Kim
A new quantum divergence induced from the Renyi relative entropy, called the Bures-Wasserstein quantum divergence, has been recently introduced. We investigate in this…
Mixture and interpolation of the parameterized ordered means
Sejong Kim
Loewner partial order plays a very important role in metric topology and operator inequality on the open convex cone of positive invertible operators. In this paper we consider a f…
Operator inequalities and gyrolines of the weighted geometric means
Sejong Kim
We consider in this paper two different types of the weighted geometric means of positive definite operators. We show the component-wise bijection of these geometric means and give…