Some inequalities for commutators and an application to spectral variation. II

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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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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