The norm of sums of independent noncommutative random variables in $L_p(\ell_1)$
| dc.creator | Junge, Marius | |
| dc.creator | Parcet, Javier | |
| dc.date | 2004-03-05 | |
| dc.date | 2004-07-28 | |
| dc.date.accessioned | 2026-07-07T05:06:08Z | |
| dc.date.available | 2026-07-07T05:06:08Z | |
| dc.description | We investigate the norm of sums of independent vector-valued random variables in noncommutative Lp spaces. This allows us to obtain a uniform family of complete embeddings of the Schatten class Sq^n in Sp(lq^m) with optimal order m = n^2. Using these embeddings we show the surprising fact that the sharp type (cotype) index in the sense of operator spaces for Lp[0,1] is min(p,p') (max(p,p')). Similar techniques are used to show that the operator space notions of B-convexity and K-convexity are equivalent. | |
| dc.description | 30 pages. To appear in J. Funct. Anal | |
| dc.identifier | https://arxiv.org/abs/math/0403103 | |
| dc.identifier | http://arxiv.org/abs/math/0403103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70367 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L07; 46L52; 46L53 | |
| dc.title | The norm of sums of independent noncommutative random variables in $L_p(\ell_1)$ | |
| dc.type | text |