Locally convex structures on higher local fields
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Locally convex structures on higher local fields |
| Type de publication | Journal Article |
| Year of Publication | 2014 |
| Auteurs | Camara A |
| Journal | JOURNAL OF NUMBER THEORY |
| Volume | 143 |
| Pagination | 185-213 |
| Date Published | OCT |
| Type of Article | Article |
| ISSN | 0022-314X |
| Mots-clés | Complete discrete valuation fields, Higher local fields, Linear topologies, Locally convex nonarchimedean spaces, Nonarchimedean functional analysis |
| Résumé | Higher local fields can be described as locally convex vector spaces once an embedding of a local field into them has been fixed. This extends previous two-dimensional results of the author. We study these spaces in the framework of nonarchimedean functional analysis. In particular, we introduce new classes of bounded and compactoid submodules and establish a self-duality result once the dual space has been suitably topologized. (C) 2014 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.jnt.2014.03.005 |