Norm inequalities for commutators of positive operators and applications

DOI10.1007/s00209-007-0201-9zbMath1139.47009OpenAlexW1992499047MaRDI QIDQ2475967

Fuad Kittaneh

Publication date: 11 March 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0201-9

zbMATH Keywords

norm inequalitypositive operatorcommutator

Mathematics Subject Classification ID

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

Related Items

Norm and numerical radius inequalities for Hilbert space operators ⋮ Commutators and accretive operators ⋮ Commutator inequalities for Hilbert space operators ⋮ Singular values, norms, and commutators ⋮ Inequalities for the Kronecker product of matrices ⋮ Some reverse and numerical radius inequalities ⋮ Spectral radius inequalities for positive commutators ⋮ Positive block matrices and numerical ranges ⋮ Norm inequalities for positive semidefinite matrices and a question of Bourin ⋮ Norm inequalities for commutators of operators in noncommutative -spaces ⋮ Certain distance estimates for operators on the Bergman space ⋮ Numerical radius inequalities concerning with algebra norms ⋮ A note about the norm of the sum and the anticommutator of two orthogonal projections ⋮ A characterization of maximum norms of commutators of positive contractions ⋮ The matrix arithmetic-geometric mean inequality revisited ⋮ Norms of commutators of self-adjoint operators ⋮ Counterexamples related to commutators of unbounded operators ⋮ Inequalities for commutators of positive operators ⋮ Singular value inequalities for commutators of Hilbert space operators ⋮ Translation-invariant maps and applications

Cites Work

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