Set-functions and factorization
| dc.creator | Kalton, Nigel J. | |
| dc.creator | Montgomery-Smith, Stephen J. | |
| dc.date | 1992-05-11 | |
| dc.date | 1999-12-06 | |
| dc.date.accessioned | 2026-07-07T09:04:41Z | |
| dc.date.available | 2026-07-07T09:04:41Z | |
| dc.description | If $ϕ$ is a submeasure satisfying an appropriate lower estimate we give a quantitative result on the total mass of a measure $μ$ satisfying $0\leμ\leϕ.$ We give a dual result for supermeasures and then use these results to investigate convexity on non-locally convex quasi-Banach lattices. We then show how to use these results to extend some factorization theorems due to Pisier to the setting of quasi-Banach spaces. We conclude by showing that if $X$ is a quasi-Banach space of cotype two then any operator $T:C(Ω)\to X$ is 2-absolutely summing and factors through a Hilbert space and discussing general factorization theorems for cotype two spaces. | |
| dc.identifier | https://arxiv.org/abs/math/9205206 | |
| dc.identifier | http://arxiv.org/abs/math/9205206 | |
| dc.identifier | Arch. Math. 61, (1993), 183-200 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149464 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B99, 28E99 | |
| dc.title | Set-functions and factorization | |
| dc.type | text |