Dominating the Commutator

  • David Wenzel
Part of the Operator Theory: Advances and Applications book series (OT, volume 202)


The values of the smallest possible constant C in the inequality ∥XY -YX∥ = CX∥∥Y∥ on the space of real or complex n×n-matrices are investigated for different norms.

Mathematics Subject Classification (2000)

Primary 15A45 Secondary 15A69 


Commutator operator norm Schatten norm inequality 


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2010

Authors and Affiliations

  • David Wenzel
    • 1
  1. 1.Department of MathematicsChemnitz University of TechnologyChemnitzGermany

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