Изучаются неравенства τ (w(A) 1/2 f (A)w(A) 1/2) τ (w(A) 1/2 f (B)w(A) 1/2), A B, где τ-след на алгебре фон Неймана или C *-алгебре, A и B-самосопряженные элементы рассматриваемой алгебры, f и w-вещественные функции, причем "весовая" функция w неотрицательна. Библиография: 15 названий.
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