3 papers
math.FA2026
On the Wasserstein barycenter of positive definite operators
Sejong Kim, Vatsalkumar N. Mer, Miklós Pálfia
We extend the Bures-Wasserstein mean of positive definite matrices to the case of positive definite operators on a Hilbert space. This is done through its defining stationary point…
math.FA2026
A multivariable mean equation arising from the spectral geometric mean
Sejong Kim, Vatsalkumar N. Mer
In the 1980s, Kubo and Ando introduced operator means on , the open convex cone of positive definite operators. One significant example is the weighted geometric mean $…
math.QA2024
New Weighted Spectral Geometric Mean and Quantum Divergence
Miran Jeong, Sejong Kim, Tin-Yau Tam
A new class of weighted spectral geometric means has recently been introduced. In this paper, we present its inequalities in terms of the Löwner order, operator norm, and trace. M…