Singular value inequalities for commutators of Hilbert space operators

DOI10.1016/j.laa.2008.12.014zbMath1162.47010OpenAlexW1988714025MaRDI QIDQ1014500

Fuad Kittaneh

Publication date: 29 April 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.12.014

zbMATH Keywords

self-adjoint operatorcompact operatorpositive operatorcommutatornormal operatorsingular valueunitarily invariant norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (5)

Commutators and accretive operators ⋮ Commutator inequalities for Hilbert space operators ⋮ Singular values, norms, and commutators ⋮ The spectral spread of Hermitian matrices ⋮ Norm inequalities for the spectral spread of Hermitian operators

Cites Work

• Norm inequalities for commutators of self-adjoint operators
• Proof of Böttcher and Wenzel's conjecture on commutator norms for 3-by-3 matrices
• Inequalities for sums and direct sums of Hilbert space operators
• The Frobenius norm and the commutator
• Inequalities for commutators of positive operators
• On some matrix inequalities.
• Norm inequalities for commutators of positive operators and applications
• The matrix arithmetic-geometric mean inequality revisited
• Norms of commutators of self-adjoint operators
• How big can the commutator of two matrices be and how big is it typically?
• More results on singular value inequalities of matrices
• The norm of a derivation
• Singular Values of Differences of Positive Semidefinite Matrices
• On the Singular Values of a Product of Operators
• Commutators, pinchings, and spectral variation
• Proof of Böttcher and Wenzel's Conjecture
• Norm Inequalities for Commutators of Normal Operators
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Matrix inequalities

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