This research presents multivariate refinements of Young’s inequality in finite von Neumann algebras, indicating broader applications.
We establish several multivariate refinements of Young’s inequality and extend them to τ-measurable operators affiliated with finite von Neumann algebras. Applications are obtained for determinants, spectral radius, Hilbert space operator means and noncommutative L_pnorms. In addition, we develop log-convex refinements and operator inequalities that strengthen previously known Young-type inequalities.
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AM Nyongesa (2026) studied this question.
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