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Norm inequalities for commutators of positive operators and applications
Authors:Fuad Kittaneh
Affiliation:(1) Department of Mathematics, University of Jordan, Amman, Jordan
Abstract:Let X, Y, and Z be operators on a Hilbert space such that X and Z are positive. It is shown that
$${left| {XY - YZ} right|} leqslant,{rm max},{left({{left| X right|},,,{left| Z right|}} right)}{left| Y right|}.$$
Applications of this commutator inequality are given.
Keywords:Commutator  Positive operator  Norm inequality
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