The Horn conjecture for compact selfadjoint operators
| dc.creator | Bercovici, H. | |
| dc.creator | Li, W. S. | |
| dc.creator | Timotin, D. | |
| dc.date | 2007-09-07 | |
| dc.date.accessioned | 2026-07-07T08:28:11Z | |
| dc.date.available | 2026-07-07T08:28:11Z | |
| dc.description | We determine the possible eigenvalues of compact selfadjoint operators A,B,C... with the property that A=B+C+... When all these operators are positive, the eigenvalues were known to be subject to certain inequalities which extend Horn's inequalities from the finite-dimensional case when A=B+C. We find the proper extension of the Horn inequalities and show that they, along with their reverse analogues, provide a complete characterization. Our results also allow us to discuss the more general situation where only some of the eigenvalues of the operators are specified. A special case is the requirement that B+C+... be positive of rank at most r. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0709.1088 | |
| dc.identifier | http://arxiv.org/abs/0709.1088 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137529 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47B15, 15A45 | |
| dc.title | The Horn conjecture for compact selfadjoint operators | |
| dc.type | text |