Smooth norms and approximation in Banach spaces of the type C(K)
| dc.creator | Hajek, Petr | |
| dc.creator | Haydon, Richard | |
| dc.date | 2006-10-12 | |
| dc.date.accessioned | 2026-07-07T07:29:02Z | |
| dc.date.available | 2026-07-07T07:29:02Z | |
| dc.description | We prove two theorems about differentiable functions on the Banach space C(K), where K is compact. (i) If C(K) admits a non-trivial function of class C^m and of bounded support, then all continuous real-valued functions on C(K) may be uniformly approximated by functions of class C^m. (ii) If C(K) admits an equivalent norm with locally uniformly convex dual norm, then C(K) admits an equivalent norm which is of class C^infty (except at 0). | |
| dc.identifier | https://arxiv.org/abs/math/0610421 | |
| dc.identifier | http://arxiv.org/abs/math/0610421 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117952 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B03; 46B26 | |
| dc.title | Smooth norms and approximation in Banach spaces of the type C(K) | |
| dc.type | text |