Abstract
A simple proof is given of the Theorem. If A A and B ∗ {B^ * } are hyponormal, then ‖ A X − X B ‖ 2 ≥ ‖ A ∗ X − X B ∗ ‖ 2 {\left \| {AX - XB} \right \|_2} \geq {\left \| {{A^ * }X - X{B^ * }} \right \|_2} for every X X in the Hilbert-Schmidt class.
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