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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 . For arbitrary nonnegative nondecreasing weights, we show that is the sharp dimen…
math.FA2026
Heron-Wasserstein majorization inequalities for spectral and Kubo-Ando geometric means
Trung Dung Vuong, Anh Thi Nguyen, Trung Hoa Dinh
We prove sharp Heron-type majorization inequalities for two quadratic matrix expressions associated with the spectral and Kubo-Ando geometric means. For the spectral geometric mean…