Geodesic
Sharp bounds for the operator norm of commutator
Filomat, Tome 37 (2023) no. 27, p. 9183

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DOI

Let ∥ · ∥ p denote the Schatten p-norm, 1 ≤ p ≤ ∞. The smallest constant C F ∞,q,r such that ∥XY − YX∥ ∞ ≤ C F ∞,q,r ∥X∥ q ∥Y∥ r for all real (F = R) or complex (F = C) matrices X and Y is determined.
DOI : 10.2298/FIL2327183C
Classification : 15A60
Keywords: Commutator, Schatten norm, operator norm, singular values 
Che-Man Cheng; Ka Leong Hoi. Sharp bounds for the operator norm of commutator. Filomat, Tome 37 (2023) no. 27, p. 9183 . doi: 10.2298/FIL2327183C
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     title = {Sharp bounds for the operator norm of commutator},
     journal = {Filomat},
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     year = {2023},
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     number = {27},
     doi = {10.2298/FIL2327183C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327183C/}
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