Commutators with maximal Frobenius norm
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Publication:1044607
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
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
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