Journal
LINEAR ALGEBRA AND ITS APPLICATIONS
Volume 429, Issue 8-9, Pages 1864-1885Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2008.05.020
Keywords
commutator; Frobenius norm; unitarily invariant norm
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In an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of two matrices. This conjecture was recently proved by Seak-Weng Vong and Xiao-Qing Jin and independently also by Zhiqin Lu. We here give a completely different proof of this inequality, prove some related results, and embark on the corresponding question for unitarily invariant norms. (C) 2008 Elsevier Inc. All rights reserved.
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