On Hilbert extensions of Weierstrass' theorem with weights
| dc.creator | Quintana, Yamilet | |
| dc.date | 2006-11-01 | |
| dc.date | 2008-05-07 | |
| dc.date.accessioned | 2026-07-07T09:37:22Z | |
| dc.date.available | 2026-07-07T09:37:22Z | |
| dc.description | In this paper we study the set of functions $\GG$-valued which can be approximated by $\GG$-valued continuous functions in the norm $L^\infty_{\GG}(I,w)$, where $I$ is a compact interval, $\GG$ is a real and separable Hilbert space and $w$ is certain $\GG$-valued weakly measurable weight. Thus, we obtain a new extension of celebrated Weierstrass approximation theorem. | |
| dc.description | Corrected version, 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611034 | |
| dc.identifier | http://arxiv.org/abs/math/0611034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160434 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Functional Analysis | |
| dc.subject | 41, 41A10, 43A32, 47A56 | |
| dc.title | On Hilbert extensions of Weierstrass' theorem with weights | |
| dc.type | text |