Inequalities for sums and direct sums of Hilbert space operators

DOI10.1016/j.laa.2006.03.036zbMath1116.47012OpenAlexW2078226957MaRDI QIDQ884410

Fuad Kittaneh, Omar Hirzallah

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.03.036

zbMATH Keywords

inequalitycompact 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)

Related Items (16)

Fischer type log-majorization of singular values on partitioned positive semidefinite matrices ⋮ Singular value and norm inequalities for positive semidefinite matrices ⋮ Further inequalities for certain powers of positive definite matrices ⋮ Commutators and accretive operators ⋮ Unitarily invariant norm inequalities for elementary operators involving \(G_{1}\) operators ⋮ Operator inequalities of Hölder type for unitarily invariant norms ⋮ Some singular value and unitarily invariant norm inequalities for Hilbert space operators ⋮ Matrix inequalities related to Hölder inequality ⋮ New orders among Hilbert space operators ⋮ The matrix arithmetic-geometric mean inequality revisited ⋮ Singular value inequalities for compact operators ⋮ Jensen matrix inequalities and direct sums ⋮ Inequalities for commutators of positive operators ⋮ Singular value inequalities for commutators of Hilbert space operators ⋮ A characterization on singular value inequalities of matrices ⋮ Singular value inequalities for Hilbert space operators

Cites Work

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• Norm inequalities for partitioned operators and an application
• Non-commutative operator Bohr inequality
• On some matrix inequalities.
• Norm inequalities for fractional powers of positive operators
• On the Clarkson-McCarthy inequalities
• Norm inequalities related to operator monotone functions
• Singular Values of Differences of Positive Semidefinite Matrices
• On the Singular Values of a Product of Operators
• Some Norm Inequalities for Operators
• CLARKSON INEQUALITIES WITH SEVERAL OPERATORS
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Some Metric Inequalities in the Space of Matrices
• Matrix inequalities
• Norm inequalities for weighted power means of operators
• Norm inequalities for certain operator sums

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