Strong martingale type and uniform smoothness
| dc.creator | Wenzel, Jörg | |
| dc.date | 2004-07-28 | |
| dc.date.accessioned | 2026-07-07T05:10:46Z | |
| dc.date.available | 2026-07-07T05:10:46Z | |
| dc.description | We introduce stronger versions of the usual notions of martingale type p <= 2 and cotype q >= 2 of a Banach space X and show that these concepts are equivalent to uniform p-smoothness and q-convexity, respectively. All these are metric concepts, so they depend on the particular norm in X. These concepts allow us to get some more insight into the fine line between X being isomorphic to a uniformly p-smooth space or being uniformly p-smooth itself. Instead of looking at Banach spaces, we consider linear operators between Banach spaces right away. The situation of a Banach space X can be rediscovered from this by considering the identity map of X. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407482 | |
| dc.identifier | http://arxiv.org/abs/math/0407482 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72037 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B04 (Primary); 46B20, 47A63 (Secondary) | |
| dc.title | Strong martingale type and uniform smoothness | |
| dc.type | text |