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MR1856852 (2002i:47044) 47B47 (47A30 47B10)
Duggal, B. P. Range-kernel orthogonality of the elementary operator $X\to\sum\sp n\sb {i=1}A\sb iXB\sb i-X$. Linear Algebra Appl. 337 (2001), 79--86.
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