A norm inequality for positive block matrices

DOI10.1016/j.crma.2018.05.006zbMath1456.15021OpenAlexW2803287769MaRDI QIDQ721037

Minghua Lin

Publication date: 18 July 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2018.05.006

zbMATH Keywords

numerical rangesymmetric norm inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Miscellaneous inequalities involving matrices (15A45)

Cites Work

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• Positive block matrices and numerical ranges
• Positive semi-definite \(2 \times 2\) block matrices and norm inequalities
• Unitary orbits of Hermitian operators with convex or concave functions
• On symmetric norm inequalities and positive definite block-matrices
• DECOMPOSITION AND PARTIAL TRACE OF POSITIVE MATRICES WITH HERMITIAN BLOCKS