closed graph theorem

A linear mapping between two Banach spacesMathworldPlanetmath X and Y is continuousMathworldPlanetmath if and only if its graph ( is a closed subset of X×Y (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