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Majorization inequalities related to increasing convex functions in a semifinite von Neumann algebra
Let μ s (x) denote the generalized s -number of an operator x .We show a mojorization inequality t 0 μ s (f (a+b)) ds t 0 μ s (f (a)+f (b)) ds for every increasing convex function with f (0) = 0 and positive τ -measurable operators a , …