Advanced topology on the multiscale sequence spaces S^ν
| dc.creator | Aubry, Jean-Marie | |
| dc.creator | Bastin, Françoise | |
| dc.date | 2007-07-19 | |
| dc.date | 2007-11-21 | |
| dc.date.accessioned | 2026-07-07T08:43:51Z | |
| dc.date.available | 2026-07-07T08:43:51Z | |
| dc.description | We pursue the study of the multiscale spaces $S^ν$ introduced by Jaffard in the context of multifractal analysis. We give the necessary and sufficient condition for $S^ν$ to be locally p-convex, and exhibit a sequence of $p$-norms that defines its natural topology. The strong topological dual of $S^ν$ is identified to another sequence space depending on $ν$, endowed with an inductive limit topology. As a particular case, we describe the dual of a countable intersection of Besov spaces. | |
| dc.description | 30 pages, 2 figures. To appear in J. Math. Anal. Appl | |
| dc.identifier | https://arxiv.org/abs/0707.2952 | |
| dc.identifier | http://arxiv.org/abs/0707.2952 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142463 | |
| dc.subject | Functional Analysis | |
| dc.subject | General Topology | |
| dc.subject | Metric Geometry | |
| dc.subject | 46A45 (Primary) 46A16, 46A20 (Secondary) | |
| dc.title | Advanced topology on the multiscale sequence spaces S^ν | |
| dc.type | text |