Another unitarily invariant norm attaining the minimum norm bound for commutators
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Publication:603108
DOI10.1016/j.laa.2010.06.037zbMath1204.15032OpenAlexW2046950277MaRDI QIDQ603108
Kin-Sio Fong, Che-Man Cheng, Io-Kei Lok
Publication date: 5 November 2010
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2010.06.037
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)
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Bounding the Frobenius norm of a \(q\)-deformed commutator, Remarks on the Böttcher-Wenzel inequality, A sharp bound for the Frobenius norm of self-commutators of matrices, Frobenius norm inequalities of commutators based on different products
Cites Work
- Variance bounds, with an application to norm bounds for commutators
- Proof of Böttcher and Wenzel's conjecture on commutator norms for 3-by-3 matrices
- The Frobenius norm and the commutator
- Commutators with maximal Frobenius norm
- How big can the commutator of two matrices be and how big is it typically?
- Proof of Böttcher and Wenzel's Conjecture
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