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.
Item Type: | Article |
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Source: | Copyright of this article belongs to Birkhauser-Verlag. |
ID Code: | 2556 |
Deposited On: | 08 Oct 2010 06:57 |
Last Modified: | 21 Jan 2011 09:30 |
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