A short note on the Frobenius norm of the commutator

DOI10.1134/S0001434610050305zbMath1275.15014OpenAlexW2024212494MaRDI QIDQ369590

Yan-Dong Wu, Xu-Qing Liu

Publication date: 18 September 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610050305

zbMATH Keywords

Frobenius normrandom matrixinequalities involving matricescommutatorBöttcher and Wenzel's conjecture

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 ⋮ Sectional nonassociativity of metrized algebras ⋮ A sharp bound for the Frobenius norm of self-commutators of matrices ⋮ Unnamed Item

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