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UM ETheses Collection (澳門大學電子學位論文庫)
 Title

On Schatten pnorms of commutators
 English Abstract

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For any odd integer d ≥ 3, we determine the sharpest constant Cp;q;r such that ∥XY − Y X∥p ≤ Cp;q;r∥X∥q∥Y ∥r for all X; Y ∈ Md; where Md denotes the set of all d×d complex matrices, ∥·∥p, 1 ≤ p ≤ ∞, denotes the Schatten pnorm 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 [D. Wenzel and K. Audenaert, Impressions of convexity: an illustration for commutator bounds, Linear Algebra Appl., vol. 433 (2010), pp. 1726–1759.]
 Issue date

2015.
 Author

Lei, Chun Yu
 Faculty

Faculty of Science and Technology
 Department

Department of Mathematics
 Degree

M.Sc.
 Subject

Functional analysis
 Supervisor

Cheng, Che Man
 Files In This Item
 Location
 1/F Zone C
 Library URL
 991000751379706306
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