Inequalities for sums and products of operators

DOI10.1016/j.laa.2005.04.017zbMath1081.47009OpenAlexW2072215381MaRDI QIDQ2568383

Omar Hirzallah

Publication date: 10 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.04.017

zbMATH Keywords

inequalitycompact operatorpositive operatorsingular valueSchatten \(p\)-normunitarity 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 (13)

Singular value inequalities for operators and matrices ⋮ Singular value inequalities for accretive-dissipative normal operators ⋮ Generalizations for singular value and arithmetic-geometric mean inequalities of operators ⋮ More inequalities for positive semidefinite \(2 \times 2\) block matrices and their blocks ⋮ Norm inequalities for the spectral spread of Hermitian operators ⋮ New lower bounds on the minimum singular value of a matrix ⋮ Some generalizations for singular value inequalities of compact operators ⋮ Inequalities for Contraction Matrices ⋮ Singular value and unitarily invariant norm inequalities for sums and products of operators ⋮ Singular values of convex functions of operators and the arithmetic-geometric mean inequality ⋮ Generalizations for singular value inequalities of operators ⋮ Singular value and norm inequalities of Davidson-Power type ⋮ More results on singular value inequalities of matrices

Cites Work

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• A note on the arithmetic-geometric-mean inequality for matrices
• On the Clarkson-McCarthy inequalities
• Norm inequalities related to operator monotone functions
• On the Singular Values of a Product of Operators
• Some Norm Inequalities for Operators
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Norm inequalities for certain operator sums

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