Eigenvalue inequalities associated with the cartesian decomposition

DOI10.1080/03081088708817828zbMath0641.15007OpenAlexW2065530418MaRDI QIDQ3781860

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Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/03081088708817828

zbMATH Keywords

eigenvaluesCartesian decompositionHermitianSchatten p-normSkew-Hermitian

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (17)

The Hoffman-Wielandt inequality in infinite dimensions ⋮ The singular values of \(A+B\) and \(A+iB\) ⋮ A softer, stronger Lidskii theorem ⋮ Eigenvalues of symmetrizable matrices ⋮ Singular value inequalities involving convex and concave functions of positive semidefinite matrices ⋮ Compact operators whose real and imaginary parts are positive ⋮ On some conjectures by Lu and Wenzel ⋮ Clarkson-McCarthy inequalities for \(l_p\)-spaces of operators in Schatten ideals ⋮ Norm inequalities for accretive-dissipative operator matrices ⋮ Approximation by positive operators ⋮ Complements to some results on eigenvalues and singular values of matrices ⋮ Inequalities and equalities for the Cartesian decomposition of complex matrices ⋮ On the self-adjointness of certain compact operators ⋮ Norm inequalities for partitioned operators and an application ⋮ Norm inequalities for Cartesian decompositions ⋮ Cartesian decompositions and Schatten norms ⋮ Majorizations and inequalities in matrix theory

Cites Work

• The variation of the spectrum of a normal matrix
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• A bound for the spectral variation of a unitary operator
• A note on Miranda's results about the characteristic values and the three types of singular values of a complex matrix
• On the cartesian decomposition of a matrix
• Note on the Characteristic Values and the Three Types of Singular Values of a Complex Matrix
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
• Inequalities: theory of majorization and its applications

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