Proof of Wenzel's conjecture concerning singular values of the commutator of rank one matrices

doi:10.1016/j.laa.2020.01.028

UM > Faculty of Science and Technology > DEPARTMENT OF MATHEMATICS

Residential College	false
Status	已發表Published
	Proof of Wenzel's conjecture concerning singular values of the commutator of rank one matrices
	Cheng,Che Man; Jiao,Ruiqiang
	2020-05-01
Source Publication	Linear Algebra and Its Applications
ISSN	0024-3795
Volume	592 Pages:165-174
Abstract	We determine the region of singular values of the commutator XY−YX when X and Y vary over the set of norm one rank one matrices. This answers in affirmative a conjecture raised in Wenzel (2015) [7].
Keyword	Singular Values Commutator
DOI	10.1016/j.laa.2020.01.028
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied ; Mathematics
WOS ID	WOS:000519669300008
Publisher	ELSEVIER SCIENCE INC, STE 800, 230 PARK AVE, NEW YORK, NY 10169
Scopus ID	2-s2.0-85078226558
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	Cheng,Che Man
Affiliation	Department of Mathematics,University of Macau,China
First Author Affilication	University of Macau
Corresponding Author Affilication	University of Macau
Recommended Citation GB/T 7714	Cheng,Che Man,Jiao,Ruiqiang. Proof of Wenzel's conjecture concerning singular values of the commutator of rank one matrices[J]. Linear Algebra and Its Applications, 2020, 592, 165-174.
APA	Cheng,Che Man., & Jiao,Ruiqiang (2020). Proof of Wenzel's conjecture concerning singular values of the commutator of rank one matrices. Linear Algebra and Its Applications, 592, 165-174.
MLA	Cheng,Che Man,et al."Proof of Wenzel's conjecture concerning singular values of the commutator of rank one matrices".Linear Algebra and Its Applications 592(2020):165-174.

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