| Residential College | false |
| Status | 已發表Published |
| On Schatten p-norms of commutators | |
Che-Man Cheng  ; Chunyu Lei
| |
| 2015-11-01 | |
| Source Publication | Linear Algebra and Its Applications
 |
| ISSN | 0024-3795 |
| Volume | 484Pages:409-434 |
| Abstract | 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). |
| Keyword | Commutator Norm Inequality Schatten P-norm |
| DOI | 10.1016/j.laa.2015.07.009 |
| URL | View the original |
| Indexed By | SCIE |
| Language | 英語English |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000360948100021 |
| Scopus ID | 2-s2.0-84938360080 |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Journal article |
| Collection | DEPARTMENT OF MATHEMATICS |
| Corresponding Author | Che-Man Cheng |
| Affiliation | Department of Mathematics, University of Macau, Macao, China |
| First Author Affilication | University of Macau |
| Corresponding Author Affilication | University 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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