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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