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On The Hilbert-Schmidt Norm Inequality Of Hyponormal Operators

Hou Jinchuan  
Let (T_1, T_2) and (S_1~*, S_2~*)be double commuting pairs of hyponormal operators and subnormal operators, respect ively, on a Hilbert space H.Then the inequality ‖T_1 Z S_1 +T_2ZS_2‖_2≥‖T_1~*Z S_1~*+T_2~*ZS~*‖_2 holds for every bounded linear operatoros on H.
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