Commutator Inequalities for the Hilbert-Schmidt Norm |
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| Authors: | Omar HirzallahFuad Kittaneh |
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| Affiliation: | a Department of Mathematics, Hashemite University, Zarqa, Jordanf1o.hirzal@hu.edu.jof1b Department of Mathematics, University of Jordan, Amman, Jordanf2fkitt@ju.edu.jof2 |
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| Abstract: | Two types of commutator inequalities for the Hilbert-Schmidt norm are established. The first type of these inequalities is related to a classical inequality of Clarkson, and the second type is related to the unitary approximation of positive and invertible operators. |
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| Keywords: | commutator inequality Hilbert-Schmidt norm normal operator positive operator unitary approximation |
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