Complex interpolation of spaces of operators on l_1
| dc.creator | Defant, Andreas | |
| dc.creator | Michels, Carsten | |
| dc.date | 1999-08-18 | |
| dc.date.accessioned | 2026-07-07T05:30:23Z | |
| dc.date.available | 2026-07-07T05:30:23Z | |
| dc.description | Within the theory of complex interpolation and theta-Hilbert spaces we extend classical results of Kwapien on absolutely (r,1)-summing operators on l_1 with values in l_p as well as their natural extensions for mixing operators invented by Maurey. Furthermore, we show that for 1<p<2 every operator T on l_1 with values in theta-type 2 spaces, theta=2/p', is Rademacher p-summing. This is another extension of Kwapien's results, and by an extrapolation procedure a natural supplement to a statement of Pisier. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/9908096 | |
| dc.identifier | http://arxiv.org/abs/math/9908096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78975 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47B10 (primary), 46M35 (secondary) | |
| dc.title | Complex interpolation of spaces of operators on l_1 | |
| dc.type | text |