A matrix subadditivity inequality for symmetric norms

DOI10.1090/S0002-9939-09-10103-XzbMath1189.15027arXiv0906.1447OpenAlexW2964304598MaRDI QIDQ5189174

Jean-Christophe Bourin

Publication date: 8 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1447

zbMATH Keywords

matrix inequalitiesnormal operatorspolar decompositionnormal matricesunitarily invariant normsconcave functionssymmetric normspositive semidefinite part

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (11)

Submajorization inequalities for matrices of τ-measurable operators ⋮ Interpolating the Rotfel'd inequality for unitarily invariant norms ⋮ Complete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity ⋮ Norm inequalities of Davidson-Power type ⋮ Singular value and norm inequalities of Davidson-Power type ⋮ Extension of Rotfel'd Theorem ⋮ Jensen matrix inequalities and direct sums ⋮ Rotfel'd type inequalities for norms ⋮ Singular value inequalities and applications ⋮ Inequalities for accretive-dissipative block matrices involving convex and concave functions ⋮ Further unitarily invariant norm inequalities for positive semidefinite matrices

Cites Work

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• Norm inequalities for partitioned operators and an application
• New trace norm inequalities for \(2\times 2\) blocks of diagonal matrices
• Norm inequalities related to operator monotone functions
• Convexity or concavity inequalities for Hermitian operators
• MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES

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