Some sharp bounds for the commutator of real matrices

DOI10.1016/j.laa.2017.01.031zbMath1359.15012OpenAlexW2584573450MaRDI QIDQ513261

Yaru Liang, Che-Man Cheng

Publication date: 3 March 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.01.031

zbMATH Keywords

norm inequalitycommutatorSchatten \(p\)-norm

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items

Bounding the Frobenius norm of a \(q\)-deformed commutator, Unnamed Item, Some norm inequalities for commutators of contracted tensor products, Commutator bounds and region of singular values of the commutator with a rank one matrix, On some conjectures by Lu and Wenzel, Proof of Wenzel's conjecture concerning singular values of the commutator of rank one matrices, Frobenius norm inequalities of commutators based on different products

Cites Work

• On Schatten \(p\)-norms of commutators
• Normal scalar curvature conjecture and its applications
• Impressions of convexity. An illustration for commutator bounds
• Variance bounds, with an application to norm bounds for commutators
• The Frobenius norm and the commutator
• How big can the commutator of two matrices be and how big is it typically?
• A survey on the Böttcher-Wenzel conjecture and related problems
• Proof of Böttcher and Wenzel's Conjecture
• Unnamed Item