Some inequalities for communtators and an application to spectral variation

Bhatia, Rajendra ; Davis, Chandler ; Kittaneh, Fuad (1991) Some inequalities for communtators and an application to spectral variation Aequationes Mathematicae, 41 (1). pp. 70-78. ISSN 0001-9054

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Official URL: http://www.springerlink.com/index/P443474273420K73...

Related URL: http://dx.doi.org/10.1007/BF02227441

Abstract

If θ -I is a positive semidefinite operator and A and B are either both Hermitian or both unitary, then every unitarily invariant norm of A-B is shown to be bounded by that of Aθ -θB. Some related inequalities are proved. An application leads to a generalization of the Lidskii-Wielandt inequality to matrices similar to Hermitian.

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Deposited On:08 Oct 2010 06:57
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