Commutator inequalities for Hilbert space operators

DOI10.1016/j.laa.2009.05.026zbMath1172.47025OpenAlexW1966630272MaRDI QIDQ840654

Omar Hirzallah

Publication date: 14 September 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.2009.05.026

zbMATH Keywords

inequalitycompact operatorpositive operatorcommutatorsingular value

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (6)

Singular values, norms, and commutators ⋮ Introducing discrepancy values of matrices with application to bounding norms of commutators ⋮ The spectral spread of Hermitian matrices ⋮ Singular value inequalities for accretive-dissipative normal operators ⋮ Norm inequalities for the spectral spread of Hermitian operators ⋮ Some generalizations for singular value inequalities of compact operators

Cites Work

• Norm inequalities for commutators of self-adjoint operators
• Inequalities for commutators of positive operators
• Singular value inequalities for commutators of Hilbert space operators
• Norm estimates related to self-commutators
• Norm inequalities for commutators of positive operators and applications
• Norms of commutators of self-adjoint operators
• Singular Values of Differences of Positive Semidefinite Matrices
• Commutators, pinchings, and spectral variation
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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