Commutators, pinchings, and spectral variation

DOI10.7153/oam-02-09zbMath1147.15019OpenAlexW2025425307MaRDI QIDQ3512703

Fuad Kittaneh, Rajendra Bhatia

Publication date: 21 July 2008

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-02-09

zbMATH Keywords

inequalitypinchingcommutatorspectral variation

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (11)

Commutators and accretive operators ⋮ Commutator inequalities for Hilbert space operators ⋮ Singular values, norms, and commutators ⋮ Introducing discrepancy values of matrices with application to bounding norms of commutators ⋮ Norm inequalities for commutators of operators in noncommutative -spaces ⋮ The Frobenius norm and the commutator ⋮ Modulus of continuity of the matrix absolute value ⋮ Singular value inequalities for commutators of Hilbert space operators ⋮ Translation-invariant maps and applications ⋮ Some inequalities for positive linear maps ⋮ Frobenius norm inequalities of commutators based on different products

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