Embedding of $C_q$ and $R_q$ into noncommutative $L_p$-spaces, $1\le p<q\le 2$
| dc.creator | Xu, Quanhua | |
| dc.date | 2005-05-14 | |
| dc.date.accessioned | 2026-07-07T05:19:54Z | |
| dc.date.available | 2026-07-07T05:19:54Z | |
| dc.description | We prove that a quotient of subspace of $C_p\oplus_pR_p$ ($1\le p<2$) embeds completely isomorphically into a noncommutative $L_p$-space, where $C_p$ and $R_p$ are respectively the $p$-column and $p$-row Hilbertian operator spaces. We also represent $C_q$ and $R_q$ ($p<q\le2$) as quotients of subspaces of $C_p\oplus_pR_p$. Consequently, $C_q$ and $R_q$ embed completely isomorphically into a noncommutative $L_p(M)$. We further show that the underlying von Neumann algebra $M$ cannot be semifinite. | |
| dc.identifier | https://arxiv.org/abs/math/0505307 | |
| dc.identifier | http://arxiv.org/abs/math/0505307 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75197 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | Primary 46L07; Secondary 47L25 | |
| dc.title | Embedding of $C_q$ and $R_q$ into noncommutative $L_p$-spaces, $1\le p<q\le 2$ | |
| dc.type | text |