Article ID Journal Published Year Pages File Type
4602322 Linear Algebra and its Applications 2008 22 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory