A matrix subadditivity inequality for f(A+B) and f(A)+f(B)
| dc.creator | Bourin, Jean-Christophe | |
| dc.creator | Uchiyama, Mitsuru | |
| dc.date | 2007-02-16 | |
| dc.date.accessioned | 2026-07-07T07:47:20Z | |
| dc.date.available | 2026-07-07T07:47:20Z | |
| dc.description | Let f be a non-negative concave function on the positive half-line. Let A and B be two positive matrices. Then, for all symmetric norms, || f(A+B) || is less than || f(A)+f(B) ||. When f is operator concave, this was proved by Ando and Zhan. Our method is simpler. Several related results are presented. | |
| dc.description | accepted in LAA | |
| dc.identifier | https://arxiv.org/abs/math/0702475 | |
| dc.identifier | http://arxiv.org/abs/math/0702475 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124130 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 47A30; 47A63 | |
| dc.title | A matrix subadditivity inequality for f(A+B) and f(A)+f(B) | |
| dc.type | text |