Part of the Operator Theory: Advances and Applications book series (OT, volume 202)
Dominating the Commutator
The values of the smallest possible constant C in the inequality ∥XY -YX∥ = C∥X∥∥Y∥ on the space of real or complex n×n-matrices are investigated for different norms.
Mathematics Subject Classification (2000)Primary 15A45 Secondary 15A69
KeywordsCommutator operator norm Schatten norm inequality
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- Zhiqin Lu, Proof of the normal scalar curvature conjecture, Available from: arxiv:0711.3510v1 [math.DG] 22 November 2007.Google Scholar
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