The Levy-Steinitz rearrangement theorem for duals of metrizable spaces
| dc.creator | Bonet, Jose | |
| dc.creator | Defant, Andreas | |
| dc.date | 1999-08-20 | |
| dc.date.accessioned | 2026-07-07T05:30:25Z | |
| dc.date.available | 2026-07-07T05:30:25Z | |
| dc.description | Extending the classical Levy-Steinitz rearrangement theorem, which in turn extended Riemann's theorem, Banaszczyk proved in 1990/93 that a metrizable, locally convex space is nuclear if and only if the domain of sums of every convergent series (i.e. the set of all elements in the space which are sums of a convergent rearrangement of the series) is a translate of a closed subspace of a special form. In this paper we present an apparently complete analysis of the domains of convergent series in duals of metrizable spaces or, more generally, in (DF)-spaces in the sense of Grothendieck. | |
| dc.identifier | https://arxiv.org/abs/math/9908112 | |
| dc.identifier | http://arxiv.org/abs/math/9908112 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78988 | |
| dc.subject | Functional Analysis | |
| dc.title | The Levy-Steinitz rearrangement theorem for duals of metrizable spaces | |
| dc.type | text |