T. Vuong

collaborators

2 papers

math-ph2026

Alternative-mean trace divergences: geometry, data processing, and barycenters

Trung Dung Vuong, Hiroki Shudo, Hiroyuki Osaka

Let $f : (0, \infty) \to (0, \infty)$ be a nontrivial normalized operator monotone function and set $s = f^{'} (1)$ . We introduce the alternative-mean trace functional $$ \altPhi_f(A,B) :=\Tr(…

math.FA2026

Sharp Hyperbolic Cutoffs and Dimension-Sharp Counterexamples for Reverse Araki-Type Inequalities

Trung Dung Vuong

We study reverse Araki-type trace inequalities and log-majorizations beyond the exponent $2$ . For arbitrary nonnegative nondecreasing weights, we show that $s = 2$ is the sharp dimen…