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Some sharp bounds for the commutator of real matrices
Cheng, Che-Man; Liang, Yaru
2017-05-15
Source PublicationLINEAR ALGEBRA AND ITS APPLICATIONS
ISSN0024-3795
Volume521Pages:263-282
Abstract

We determine, for some values of p, q, r, the smallest constant C-p,q,r(R) such that parallel to XY - YX parallel to(p) <= C-p,q,r(R) parallel to X parallel to(q) parallel to Y parallel to(r) for all real square matrices X and Y, where parallel to center dot parallel to(p)denotes the Schatten p-norm. (C) 2017 Elsevier Inc. All rights reserved.

KeywordSchatten P-norm Commutator Norm Inequality
DOI10.1016/j.laa.2017.01.031
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000397073300011
PublisherELSEVIER SCIENCE INC
The Source to ArticleWOS
Scopus ID2-s2.0-85012188116
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorCheng, Che-Man
AffiliationDepartment of Mathematics, University of Macau, Macao, China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Cheng, Che-Man,Liang, Yaru. Some sharp bounds for the commutator of real matrices[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 521, 263-282.
APA Cheng, Che-Man., & Liang, Yaru (2017). Some sharp bounds for the commutator of real matrices. LINEAR ALGEBRA AND ITS APPLICATIONS, 521, 263-282.
MLA Cheng, Che-Man,et al."Some sharp bounds for the commutator of real matrices".LINEAR ALGEBRA AND ITS APPLICATIONS 521(2017):263-282.
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