Residential College | false |
Status | 已發表Published |
Proof of Bottcher and Wenzel's Conjecture | |
Seak-Weng Vong; Xiao-Qing Jin | |
2008-01 | |
Source Publication | Operators and matrices |
ISSN | 1846-3886 |
Volume | 2Issue: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. |
Keyword | Commutator Of Two Matrices The Cauchy-schwarz Inequality The Lagrange Identity |
DOI | 10.7153/oam-02-26 |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000263564100008 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | Faculty of Science and Technology DEPARTMENT OF MATHEMATICS |
Affiliation | University of Macau |
First Author Affilication | University 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. |
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