closed graph theorem
A linear mapping between two Banach spaces
and is continuous
if and only if its graph (http://planetmath.org/Graph2) is a closed subset of (with the product topology).
| Title | closed graph theorem |
|---|---|
| Canonical name | ClosedGraphTheorem |
| Date of creation | 2013-03-22 13:13:56 |
| Last modified on | 2013-03-22 13:13:56 |
| Owner | Koro (127) |
| Last modified by | Koro (127) |
| Numerical id | 8 |
| Author | Koro (127) |
| Entry type | Theorem |
| Classification | msc 46A30 |
| Related topic | OpenMappingTheorem |
| Related topic | Graph2 |