Bennett-Carl inequalities for symmetric Banach sequence spaces and unitary ideals
| dc.creator | Defant, Andreas | |
| dc.creator | Michels, Carsten | |
| dc.date | 1999-04-28 | |
| dc.date.accessioned | 2026-07-07T05:28:51Z | |
| dc.date.available | 2026-07-07T05:28:51Z | |
| dc.description | We prove an abstract interpolation theorem which interpolates the (r,2)-summing and (s,2)-mixing norm of a fixed operator in the image and the range space. Combined with interpolation formulas for spaces of operators we obtain as an application the original Bennett-Carl inequalities for identities acting between Minkowski spaces l_u as well as their analogues for Schatten classes S_u. Furthermore, our techniques motivate a study of Bennett-Carl inequalities within a more general setting of symmetric Banach sequence spaces and unitary ideals. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/9904157 | |
| dc.identifier | http://arxiv.org/abs/math/9904157 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78417 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47B10 (primary), 47B37 (secondary) | |
| dc.title | Bennett-Carl inequalities for symmetric Banach sequence spaces and unitary ideals | |
| dc.type | text |