UM  > 科技學院
Proof of Bottcher and Wenzel's Conjecture
Seak-Weng Vong; Xiao-Qing Jin
2008-01
Source PublicationOperators and matrices
ISSN1846-3886
Volume2Issue:3Pages:435–442
Abstract

In 2005, Bottcher and Wenzel raised a conjecture that if ¨ X and Y are any two real n -by- n matrices, then XY −YX2 F 2X2 FY2 F where ·F denotes the Frobenius norm. They proved this for the case of 2 -by- 2 matrices. Later, Laszl ´ o proved the conjecture for the ´ case of 3 -by- 3 matrices. In this paper, we prove the conjecture for general n -by- n matrices.

KeywordCommutator Of Two Matrices The Cauchy-schwarz Inequality The Lagrange Identity
DOIhttp://dx.doi.org/10.7153/oam-02-26
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000263564100008
Fulltext Access
Citation statistics
Cited Times [WOS]:22   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
AffiliationUniversity of Macau
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Seak-Weng Vong,Xiao-Qing Jin. Proof of Bottcher and Wenzel's Conjecture[J]. Operators and matrices,2008,2(3):435–442.
APA Seak-Weng Vong,&Xiao-Qing Jin.(2008).Proof of Bottcher and Wenzel's Conjecture.Operators and matrices,2(3),435–442.
MLA Seak-Weng Vong,et al."Proof of Bottcher and Wenzel's Conjecture".Operators and matrices 2.3(2008):435–442.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Seak-Weng Vong]'s Articles
[Xiao-Qing Jin]'s Articles
Baidu academic
Similar articles in Baidu academic
[Seak-Weng Vong]'s Articles
[Xiao-Qing Jin]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Seak-Weng Vong]'s Articles
[Xiao-Qing Jin]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.