Closed graph and open mapping theorems for topological $\wt{\C}$-modules and applications
| dc.creator | Garetto, Claudia | |
| dc.date | 2006-08-03 | |
| dc.date | 2006-10-17 | |
| dc.date.accessioned | 2026-07-07T07:21:21Z | |
| dc.date.available | 2026-07-07T07:21:21Z | |
| dc.description | We present closed graph and open mapping theorems for $\wt{\C}$-linear maps acting between suitable classes of topological and locally convex topological $\wt{\C}$-modules. This is done by adaptation of De Wilde's theory of webbed spaces and Adasch's theory of barrelled spaces to the context of locally convex and topological $\wt{\C}$-modules respectively. We give applications of the previous theorems to Colombeau theory as well to the theory of Banach $\wt{\C}$-modules. In particular we obtain a necessary condition for $\Ginf$-hypoellipticity on the symbol of a partial differential operator with generalized constant coefficients. | |
| dc.identifier | https://arxiv.org/abs/math/0608087 | |
| dc.identifier | http://arxiv.org/abs/math/0608087 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115272 | |
| dc.subject | Functional Analysis | |
| dc.subject | 13J99, 46A30, 46F30 | |
| dc.title | Closed graph and open mapping theorems for topological $\wt{\C}$-modules and applications | |
| dc.type | text |