Some inequalities for commutators and an application to spectral variation

DOI10.1007/BF02227441zbMath0752.47005OpenAlexW1973208521MaRDI QIDQ1174745

Chandler Davis, Fuad Kittaneh, Rajendra Bhatia

Publication date: 25 June 1992

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137392

zbMATH Keywords

unitarily invariant normHilbert-Schmidt norm

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Commutators, derivations, elementary operators, etc. (47B47) Numerical linear algebra (65F99)

Related Items (14)

A survey of Chandler Davis ⋮ Spectral variation bounds for diagonalisable matrices ⋮ Eigenvalues of symmetrizable matrices ⋮ Non-commutative operator Bohr inequality ⋮ Rayleigh--Ritz Majorization Error Bounds of Mixed Type ⋮ On perturbations of matrix pencils with real spectra. II ⋮ Eigenvalues of Rayleigh quotient matrices ⋮ Some inequalities for commutators and an application to spectral variation. II ⋮ Cartesian decomposition and numerical radius inequalities ⋮ Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm ⋮ Some norm inequalities involving convex functions of operators ⋮ Rajendra Bhatia and his mathematical achievements ⋮ Unnamed Item ⋮ On the convexity of functions

Cites Work

• Some inequalities for norm ideals
• An extremal problem in Fourier analysis with applications to operator theory
• On the continuity of the absolute value map in the Schatten classes
• An inequality for trace ideals
• The variation of the spectrum of a normal matrix
• Some Commutator Estimates in the Schatten Classes
• On Generalized Fuglede-Putnam Theorems of Hilbert-Schmidt Type
• The Fugledge Commutativity Theorem Modulo the Hilbert-Schmidt Class and Generating Functions for Matrix Operators. I
• Unnamed Item
• Unnamed Item

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