| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602111 | Linear Algebra and its Applications | 2010 | 7 Pages |
Abstract
Let X,Y be n×n complex matrices such that X,Y,XY have no eigenvalues on R- and log(XY)=log(X)+log(Y). We prove that if n=2, or if n⩾3 and X,Y are simultaneously triangularizable, then X,Y commute. In both cases we reduce the problem to a result in complex analysis.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
