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Some norm inequalities for commutators of contracted tensor products
Xie, Ze-Jia1; Cheng, Che-Man2; Jin, Xiao-Qing2
2018-03
Source PublicationLINEAR ALGEBRA AND ITS APPLICATIONS
ISSN0024-3795
Volume540Pages:244-256
Abstract

The paper concerns generalizations of the Bottcher Wenzel inequality to contracted products of tensors. We show that the best constant in the inequality is as expected in some cases and present an example where the best constant is larger than expected. (C) 2017 Elsevier Inc. All rights reserved.

KeywordContracted Product Matricization Tensor Norm Inequality Commutator
DOI10.1016/j.laa.2017.11.033
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000424178300014
PublisherELSEVIER SCIENCE INC
The Source to ArticleWOS
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorXie, Ze-Jia
Affiliation1.Department of Mathematics and Data Science, Dongguan University of Technology, Dongguan, 523808, China
2.Department of Mathematics, University of Macau, Macau, China
Recommended Citation
GB/T 7714
Xie, Ze-Jia,Cheng, Che-Man,Jin, Xiao-Qing. Some norm inequalities for commutators of contracted tensor products[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2018,540:244-256.
APA Xie, Ze-Jia,Cheng, Che-Man,&Jin, Xiao-Qing.(2018).Some norm inequalities for commutators of contracted tensor products.LINEAR ALGEBRA AND ITS APPLICATIONS,540,244-256.
MLA Xie, Ze-Jia,et al."Some norm inequalities for commutators of contracted tensor products".LINEAR ALGEBRA AND ITS APPLICATIONS 540(2018):244-256.
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