Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620662 | Journal of Mathematical Analysis and Applications | 2008 | 6 Pages |
Abstract
In this note, we give a characterization of a pair (A,B) of positive contractions with commutator AB−BA of maximum possible norm. A necessary and sufficient condition is that either or its complex conjugate is in the closure of the numerical range of AB.
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