Bhatia, Rajendra ; Kittaneh, Fuad ; Cang Li, Ren (1997) Some inequalities for commutators and an application to spectral variation. II Linear and Multilinear Algebra, 43 (1-3). 207- 219. ISSN 0308-1087
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Official URL: http://www.informaworld.com/smpp/content~db=all~co...
Related URL: http://dx.doi.org/10.1080/03081089708818526
Abstract
Inequalities that compare unitarily invariant norms of A - B and those of A Γ - Γ B and Γ-1A - B Γ-1 are obtained, where both A and B are either Hermitian or unitary or normal operators and Γ is a positive definite operator in a complex separable Hilbert space. These inequalities are then applied to derive bounds for spectral variation of diagonalisable matrices. Our new bounds improve substantially previously published bounds.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Ltd. |
| Keywords: | Linear Operator; Commutator; Unitarily Invariant Norm; Diagonalisable Matrix; Spectral Variation; AMS Subject Classification: 15A42, 15A60, 65F99 |
| ID Code: | 2557 |
| Deposited On: | 08 Oct 2010 06:57 |
| Last Modified: | 21 Jan 2011 09:11 |
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