The Rademacher cotype of operators from $l_\infty^N$
| dc.creator | Montgomery-Smith, Stephen J. | |
| dc.creator | Talagrand, Michel | |
| dc.date | 1989-11-17 | |
| dc.date | 1999-12-04 | |
| dc.date.accessioned | 2026-07-07T09:04:40Z | |
| dc.date.available | 2026-07-07T09:04:40Z | |
| dc.description | We show that for any operator $T:l_\infty^N\to Y$, where $Y$ is a Banach space, that its cotype 2 constant, $K_2(T)$, is related to its $(2,1)$-summing norm, $π_{2,1}(T)$, by $K_2(T) \le c \log\log N π_{2,1}(T) $. Thus, we can show that there is an operator $T:C(K)\to Y$ that has cotype 2, but is not 2-summing. | |
| dc.identifier | https://arxiv.org/abs/math/9201207 | |
| dc.identifier | http://arxiv.org/abs/math/9201207 | |
| dc.identifier | Proc. A.M.S. 112 (1991), 187-194 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149459 | |
| dc.subject | Functional Analysis | |
| dc.subject | Primary 46B20, Secondary 60G99 | |
| dc.title | The Rademacher cotype of operators from $l_\infty^N$ | |
| dc.type | text |