The Complex Stone-Weierstrass Property
| dc.creator | Kunen, Kenneth | |
| dc.date | 2003-05-05 | |
| dc.date | 2003-10-01 | |
| dc.date.accessioned | 2026-07-07T04:57:46Z | |
| dc.date.available | 2026-07-07T04:57:46Z | |
| dc.description | C(X) denotes the space of continuous complex-valued functions on the compact Hausdorff space X. X has the CSWP if every subalgebra of C(X) which separates points and contains the constant functions is dense in C(X). W. Rudin showed that all scattered X have the CSWP. We describe a class of non-scattered X with the CSWP; by another result of Rudin, such X cannot be metrizable. | |
| dc.description | 15 pages This version extends the main result of the previous version from separable compact ordered spaces to general compact ordered spaces | |
| dc.identifier | https://arxiv.org/abs/math/0305076 | |
| dc.identifier | http://arxiv.org/abs/math/0305076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67374 | |
| dc.subject | General Topology | |
| dc.subject | Functional Analysis | |
| dc.subject | 54H13; 46J10 | |
| dc.title | The Complex Stone-Weierstrass Property | |
| dc.type | text |