Approximation of *weak-to-norm continuous mappings
| dc.creator | D'Ambrosio, Lorenzo | |
| dc.date | 2000-07-20 | |
| dc.date.accessioned | 2026-07-07T04:36:27Z | |
| dc.date.available | 2026-07-07T04:36:27Z | |
| dc.description | The purpose of this paper is to study the approximation of vector valued mappings defined on a subset of a normed space. We investigate Korovkin-type conditions under which a given sequence of linear operators becomes a so-called approximation process. First, we give a sufficient condition for this sequence to approximate the class of bounded, uniformly continuous functions. Then we present some sufficient and necessary conditions guaranteeing the approximation within the class of unbounded, *weak-to-norm continuous mappings. We also derive some estimates of the rate of convergence. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0007124 | |
| dc.identifier | http://arxiv.org/abs/math/0007124 | |
| dc.identifier | J. Approx. Theory 119 (2002), 18-40 | |
| dc.identifier | doi:10.1006/jath.2002.3708 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59600 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 41A36 (41A65) | |
| dc.title | Approximation of *weak-to-norm continuous mappings | |
| dc.type | text |