A Maurey type result for operator spaces
| dc.creator | Junge, Marius | |
| dc.creator | Lee, Hun Hee | |
| dc.date | 2007-07-02 | |
| dc.date | 2007-11-08 | |
| dc.date.accessioned | 2026-07-07T08:41:12Z | |
| dc.date.available | 2026-07-07T08:41:12Z | |
| dc.description | The little Grothendieck theorem for Banach spaces says that every bounded linear operator between $C(K)$ and $\ell_2$ is 2-summing. However, it is shown in \cite{J05} that the operator space analogue fails. Not every cb-map $v : \K \to OH$ is completely 2-summing. In this paper, we show an operator space analogue of Maurey's theorem : Every cb-map $v : \K \to OH$ is $(q,cb)$-summing for any $q>2$ and hence admits a factorization $\|v(x)\| \leq c(q) \|v\|_{cb} \|axb\|_q$ with $a,b$ in the unit ball of the Schatten class $S_{2q}$. | |
| dc.description | 29 pages. To appear in Journal of Functional Analysis | |
| dc.identifier | https://arxiv.org/abs/0707.0152 | |
| dc.identifier | http://arxiv.org/abs/0707.0152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141608 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L25; 46B07 | |
| dc.title | A Maurey type result for operator spaces | |
| dc.type | text |