Type and cotype of operator spaces
| dc.creator | Lee, Hun Hee | |
| dc.date | 2005-02-15 | |
| dc.date | 2006-10-27 | |
| dc.date.accessioned | 2026-07-07T06:39:26Z | |
| dc.date.available | 2026-07-07T06:39:26Z | |
| dc.description | We consider two operator space versions of type and cotype, namely $S_p$-type, $S_q$-cotype and type $(p,H)$, cotype $(q,H)$ for a homogeneous Hilbertian operator space $H$ and $1\leq p \leq 2 \leq q\leq \infty$, generalizing "$OH$-cotype 2" of G. Pisier. We compute type and cotype of some Hilbertian operator spaces and $L_p$ spaces, and we investigate the relationship between a homogeneous Hilbertian space $H$ and operator spaces with cotype $(2,H)$. As applications we consider operator space versions of generalized little Grothendieck's theorem and Maurey's extension theorem in terms of these new notions. | |
| dc.description | 23 pages, The whole paper is rewritten, and the title has been changed | |
| dc.identifier | https://arxiv.org/abs/math/0502302 | |
| dc.identifier | http://arxiv.org/abs/math/0502302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101077 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Type and cotype of operator spaces | |
| dc.type | text |