Modules with norms which take values in a C*-algebra
| dc.creator | Phillips, N. C. | |
| dc.creator | Weaver, N. | |
| dc.date | 1996-12-19 | |
| dc.date.accessioned | 2026-07-07T09:13:40Z | |
| dc.date.available | 2026-07-07T09:13:40Z | |
| dc.description | We consider modules E over a C*-algebra A which are equipped with a map into A_+ that has the formal properties of a norm. We completely determine the structure of these modules. In particular, we show that if A has no nonzero commutative ideals then every such E must be a Hilbert module. The commutative case is much less rigid: if A = C_0(X) is commutative then E is merely isomorphic to the module of continuous sections of some bundle of Banach spaces over X. In general E will embed in a direct sum of modules of the preceding two types. | |
| dc.description | 16 pages, TeX | |
| dc.identifier | https://arxiv.org/abs/funct-an/9612005 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9612005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152407 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Modules with norms which take values in a C*-algebra | |
| dc.type | text |