About the logarithm function over the matrices
| dc.creator | Gerald, Bourgeois | |
| dc.date | 2007-12-04 | |
| dc.date | 2007-12-20 | |
| dc.date.accessioned | 2026-07-07T08:50:14Z | |
| dc.date.available | 2026-07-07T08:50:14Z | |
| dc.description | We prove the following results: let x,y be (n,n) complex matrices such that x,y,xy have no eigenvalue in ]-infinity,0] and log(xy)=log(x)+log(y). If n=2, or if n>2 and x,y are simultaneously triangularizable, then x,y commute. In both cases we reduce the problem to a result in complex analysis. | |
| dc.description | Minor corrections and a new result | |
| dc.identifier | https://arxiv.org/abs/0712.0410 | |
| dc.identifier | http://arxiv.org/abs/0712.0410 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144538 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 39B42 | |
| dc.title | About the logarithm function over the matrices | |
| dc.type | text |