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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.DG2024
Geometric Properties and Distance Inequalities on Grassmannians
Tin-Yau Tam, Xiang Xiang Wang
In this paper we obtain inequalities for the geometric mean of elements in the Grassmannians. These inequalities reflect the elliptic geometry of the Grassmannians as Riemannian ma…