Young's Inequality in Semifinite von Neumann Algebras
| dc.creator | Farenick, Douglas R. | |
| dc.creator | Manjegani, S. Mahmoud | |
| dc.date | 2003-03-25 | |
| dc.date.accessioned | 2026-07-07T04:56:23Z | |
| dc.date.available | 2026-07-07T04:56:23Z | |
| dc.description | This paper formulates Young-type inequalities for singular values (or $s$-numbers) and traces in the context of von Neumann algebras. In particular, it shown that if $\t(\cdot)$ is a faithful semifinite normal trace on a semifinite von Neumann algebra $M$ and if $p$ and $q$ are positive real numbers for which $p^{-1}+q^{-1}=1$, then, for all positive operators $a,b\in M$, $\t(|ab|)\le p^{-1}\t(a^p)+ q^{-1}\t(b^q)$, with equality holding (in the cases where $p^{-1}\t(a^p)+ q^{-1}\t(b^q)<\infty$) if and only if $b^q=a^p$. | |
| dc.identifier | https://arxiv.org/abs/math/0303318 | |
| dc.identifier | http://arxiv.org/abs/math/0303318 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66900 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05 (Primary), 47A60 (Secondary) | |
| dc.title | Young's Inequality in Semifinite von Neumann Algebras | |
| dc.type | text |