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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. Mo…
math.QA2023
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…