Some inequalities for communtators and an application to spectral variation |
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| Authors: | Rajendra Bhatia Chandler Davis Fuad Kittaneh |
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| Institution: | (1) Indian Statistical Institute, 110 016 New Delhi, India;(2) Department of Mathematics, University of Toronto, M5S 1A1 Toronto, Ontario, Canada;(3) Department of Mathematics, Kuwait University, Kuwait |
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| Abstract: | Summary If  –I is a positive semidefinite operator andA andB are either both Hermitian or both unitary, then every unitarily invariant norm ofA–B is shown to be bounded by that ofA–B. Some related inequalities are proved. An application leads to a generalization of the Lidskii-Wielandt inequality to matrices similar to Hermitian.Dedicated to the memory of Alexander M. Ostrowski on the occasion of the 100th anniversary of his birth |
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| Keywords: | Primary 15A42 15A57 15A60 Secondary 65F99 |
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