Commutators with maximal Frobenius norm

DOI10.1016/j.laa.2009.08.008zbMath1184.15017OpenAlexW2166543358MaRDI QIDQ1044607

Che-Man Cheng, David Wenzel, Seak Weng Vong

Publication date: 18 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.08.008

zbMATH Keywords

inequalitiesFrobenius normcommutator

Mathematics Subject Classification ID

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

Related Items (14)

Constraints for the spectra of generators of quantum dynamical semigroups ⋮ The normal Ricci curvature inequality ⋮ Impressions of convexity. An illustration for commutator bounds ⋮ Another unitarily invariant norm attaining the minimum norm bound for commutators ⋮ Some norm inequalities for commutators of contracted tensor products ⋮ On some norm inequalities involving the commutator and \(XY-YX^T\) ⋮ Non-commutative standard polynomials applied to matrices ⋮ Remarks on the Böttcher-Wenzel inequality ⋮ Sectional nonassociativity of metrized algebras ⋮ A sharp bound for the Frobenius norm of self-commutators of matrices ⋮ On some conjectures by Lu and Wenzel ⋮ A note on the norm of the commutator and the norm of \(XY-YX^{T}\) ⋮ Some generalizations of the DDVV and BW inequalities ⋮ Frobenius norm inequalities of commutators based on different products

Cites Work

• Proof of Böttcher and Wenzel's conjecture on commutator norms for 3-by-3 matrices
• The Frobenius norm and the commutator
• How big can the commutator of two matrices be and how big is it typically?
• Proof of Böttcher and Wenzel's Conjecture
• Matrix Analysis
• On Matrices Whose Real Linear Combinations are Nonsingular

This page was built for publication: Commutators with maximal Frobenius norm