Tensor products with bounded continuous functions
| dc.creator | Williams, Dana P. | |
| dc.date | 2003-07-09 | |
| dc.date.accessioned | 2026-07-07T04:59:32Z | |
| dc.date.available | 2026-07-07T04:59:32Z | |
| dc.description | We study that natural inclusions $C^b(X) \tensor A$ into $C^b(X,A)$ and $C^b(X, C^b(Y))$ into $C^b(X \times Y)$. In particular, excepting trivial cases, both these maps are isomorphisms only when $X$ and $Y$ are pseudocompact. This implies a result of Glicksberg showing that the Stone-Cech compactificiation $β(X \times Y)$ is naturally identified with $βX \times βY$ if and only if $X$ and $Y$ are pseudocompact. | |
| dc.description | 9 Pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0307124 | |
| dc.identifier | http://arxiv.org/abs/math/0307124 | |
| dc.identifier | New York J. Math 9 (2003) 69-77 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68024 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | Primary: 46L06; Secondary: 54D35, 54D20 | |
| dc.title | Tensor products with bounded continuous functions | |
| dc.type | text |