Frobenius norm inequalities of commutators based on different products

doi:10.7153/oam-2021-15-43

UM > Faculty of Science and Technology > DEPARTMENT OF MATHEMATICS

Residential College	false
Status	已發表Published
	Frobenius norm inequalities of commutators based on different products
	Liu, Wei Hui1 ; Xie, Ze Jia 2; Jin, Xiao Qing1
	2021-06-01
Source Publication	Operators and Matrices
ISSN	1846-3886
Volume	15 Issue:2 Pages:645-657
Abstract	The difference AB−BA of two matrices A and B is called the commutator (or Lie product). In this paper, we are concerned with inequalities for the Frobenius norm of commutators based on other products, including the Kronecker product, the Khatri-Rao product, the contracted product, and the T-product. We also study the characterization of their corresponding maximal pairs.
Keyword	Bottcher-wenzel Conjecture Commutator Contracted Product Frobenius Norm Khatri-rao Product Kronecker Product Maximal Pair T-product
DOI	10.7153/oam-2021-15-43
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics
WOS ID	WOS:000669837000017
Publisher	ELEMENT, R AUSTRIJE 11, 10000 ZAGREB, CROATIA
Scopus ID	2-s2.0-85111046755
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	DEPARTMENT OF MATHEMATICS
Corresponding Author	Jin, Xiao Qing
Affiliation	1.Department of Mathematics, University of Macau, Macao, China 2.Department of Mathematics, Shantou University, Shantou, 515063, China
First Author Affilication	University of Macau
Corresponding Author Affilication	University of Macau
Recommended Citation GB/T 7714	Liu, Wei Hui,Xie, Ze Jia,Jin, Xiao Qing. Frobenius norm inequalities of commutators based on different products[J]. Operators and Matrices, 2021, 15(2), 645-657.
APA	Liu, Wei Hui., Xie, Ze Jia., & Jin, Xiao Qing (2021). Frobenius norm inequalities of commutators based on different products. Operators and Matrices, 15(2), 645-657.
MLA	Liu, Wei Hui,et al."Frobenius norm inequalities of commutators based on different products".Operators and Matrices 15.2(2021):645-657.

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