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Some norm inequalities for commutators of contracted tensor products
Xie,Ze Jia1; Cheng,Che Man2; Jin,Xiao Qing2
2018-03-01
Source PublicationLinear Algebra and Its Applications
ISSN0024-3795
Volume540Pages:244-256
Abstract

The paper concerns generalizations of the Böttcher–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.

KeywordCommutator Contracted Product Matricization Norm Inequality Tensor
DOI10.1016/j.laa.2017.11.033
URLView the original
Language英語English
WOS IDWOS:000424178300014
Scopus ID2-s2.0-85036663509
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Citation statistics
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Department of Mathematics and Data Science,Dongguan University of Technology,Dongguan,523808,China
2.Department of Mathematics,University of Macau,Macau,Macao
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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