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On some norm inequalities involving the commutator and \(XY-YX^T\)

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Publication:1938598
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DOI10.1016/j.laa.2012.11.007zbMath1261.15025OpenAlexW1228756362MaRDI QIDQ1938598

Kin-Sio Fong, Che-Man Cheng, Weng-Fai Lei

Publication date: 21 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.11.007

zbMATH Keywords

norm inequalitycommutator


Mathematics Subject Classification ID

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


Related Items

On some conjectures by Lu and Wenzel, Frobenius norm inequalities of commutators based on different products



Cites Work

  • Normal scalar curvature conjecture and its applications
  • A note on the norm of the commutator and the norm of \(XY-YX^{T}\)
  • Impressions of convexity. An illustration for commutator bounds
  • Variance bounds, with an application to norm bounds for commutators
  • The Frobenius norm and the commutator
  • Commutators with maximal Frobenius norm
  • Remarks on the Böttcher-Wenzel inequality
  • How big can the commutator of two matrices be and how big is it typically?
  • Proof of Böttcher and Wenzel's Conjecture
  • Matrix Analysis
  • Unnamed Item
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