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On Schatten p-norms of commutators
Che-Man Cheng; Chunyu Lei
Source PublicationLinear Algebra and Its Applications

For any odd integer d ≥ 3, we determine the sharpest constant Cp,q,r such that ||XY - YX||p ≤ Cp,q,r ||X||q||Y||r for all X,Y ∈ Md, where Md denotes the set of all d x d complex matrices, ||·||p, 1 ≤ p ≤ ∞, denotes the Schatten p-norm on Md, and 1 ≤ p,q,r ≤ ∞ satisfy 1/p > 1/q + 1/r. This is a continuation of the study of the problem considered in Wenzel and Audenaert (2010).

KeywordCommutator Norm Inequality Schatten P-norm
URLView the original
Indexed BySCIE
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000360948100021
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Cited Times [WOS]:7   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Corresponding AuthorChe-Man Cheng
AffiliationDepartment of Mathematics, University of Macau, Macao, China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Che-Man Cheng,Chunyu Lei. On Schatten p-norms of commutators[J]. Linear Algebra and Its Applications,2015,484:409-434.
APA Che-Man Cheng,&Chunyu Lei.(2015).On Schatten p-norms of commutators.Linear Algebra and Its Applications,484,409-434.
MLA Che-Man Cheng,et al."On Schatten p-norms of commutators".Linear Algebra and Its Applications 484(2015):409-434.
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