Non-commutative A-G mean inequality
| dc.creator | Hayashi, Tomohiro | |
| dc.date | 2008-05-01 | |
| dc.date.accessioned | 2026-07-07T09:36:23Z | |
| dc.date.available | 2026-07-07T09:36:23Z | |
| dc.description | In this paper we consider non-commutative analogue for the arithmeticgeometric mean inequality $$a^{r}b^{1-r}+(r-1)b\geq ra$$ for two positive numbers $a,b$ and $r> 1$. We show that under some assumptions the non-commutative analogue for $a^{r}b^{1-r}$ which satisfies this inequality is unique and equal to $r$-mean. The case $0<r<1$ is also considered. In particular, we give a new characterization of the geometric mean. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0805.0071 | |
| dc.identifier | http://arxiv.org/abs/0805.0071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160103 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 47A63, 47A64 | |
| dc.title | Non-commutative A-G mean inequality | |
| dc.type | text |