On function and operator modules
| dc.creator | Blecher, David P. | |
| dc.creator | Merdy, Christian Le | |
| dc.date | 1999-06-14 | |
| dc.date.accessioned | 2026-07-07T05:29:31Z | |
| dc.date.available | 2026-07-07T05:29:31Z | |
| dc.description | Let $A$ be a unital Banach algebra. We give a characterization of the left Banach $A$-modules $X$ for which there exists a commutative unital $C^*$-algebra $C(K)$, a linear isometry $i\colon X\to C(K)$, and a contractive unital homomorphism $θ\colon A\to C(K)$ such that $i(a\cdotp x) =θ(a)i(x)$ for any $a\in A, x\in X$. We then deduce a "commutative" version of the Christensen-Effros-Sinclair characterization of operator bimodules. In the last section of the paper, we prove a $w^*$-version of the latter characterization, which generalizes some previous work of Effros and Ruan. | |
| dc.identifier | https://arxiv.org/abs/math/9906099 | |
| dc.identifier | http://arxiv.org/abs/math/9906099 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78667 | |
| dc.subject | Operator Algebras | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Functional Analysis | |
| dc.subject | 46H25, 46J10, 47D25, 46B28 | |
| dc.title | On function and operator modules | |
| dc.type | text |