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Another unitarily invariant norm attaining the minimum norm bound for commutators

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Publication:603108
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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

zbMATH Keywords

Frobenius normnorm inequalitycommutatorunitarily invariant 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, 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
  • Unnamed Item
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