Cartesian decompositions and Schatten norms

DOI10.1016/S0024-3795(00)00206-8zbMath0981.47008MaRDI QIDQ1590649

Fuad Kittaneh, Rajendra Bhatia

Publication date: 1 March 2002

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

zbMATH Keywords

inequalityHermitian operatorCartesian decompositionSchatten \(p\)-norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Eigenvalues, singular values, and eigenvectors (15A18) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (19)

Norm inequalities related to \(p\)-Schatten class ⋮ Some generalizations of inequalities for sector matrices ⋮ The singular values of \(A+B\) and \(A+iB\) ⋮ Some inequalities related to p-Schatten norm ⋮ Singular value inequalities involving convex and concave functions of positive semidefinite matrices ⋮ Some generalizations of numerical radii and Schatten p-norms inequalities ⋮ EP-nilpotent decomposition and its applications ⋮ Norm bounds for summation of two normal matrices. ⋮ Clarkson-McCarthy inequalities for \(l_q(S^p)\) spaces of operators ⋮ A characterization of maximum norms of commutators of positive contractions ⋮ Clarkson-McCarthy inequalities for \(l_p\)-spaces of operators in Schatten ideals ⋮ Norm inequalities for commutators of positive operators and applications ⋮ Norms of commutators of self-adjoint operators ⋮ Cartesian decomposition and numerical radius inequalities ⋮ Versions of inequalities related to \(p\)-Schatten norm ⋮ Clarkson-McCarthy inequalities for several operators and related norm inequalities for \(p\)-modified unitarily invariant norms ⋮ Duality Mapping for Schatten Matrix Norms ⋮ On the p-numerical radii of Hilbert space operators ⋮ On Clarkson-McCarthy inequalities for $n$-tuples of operators

Cites Work

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• Norm inequalities for Cartesian decompositions
• On the Clarkson-McCarthy inequalities
• Compact operators whose real and imaginary parts are positive
• On the Singular Values of a Product of Operators
• Eigenvalue inequalities associated with the cartesian decomposition
• Hölder type inequalities for matrices

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