Banach-Alaoglu theorem

Let X be a normed spaceMathworldPlanetmath, and let X* be its dual. Then the closed unit ball of X*,


is compactPlanetmathPlanetmath in the weak-* topologyMathworldPlanetmath.

Title Banach-Alaoglu theorem
Canonical name BanachAlaogluTheorem
Date of creation 2013-03-22 14:48:44
Last modified on 2013-03-22 14:48:44
Owner Koro (127)
Last modified by Koro (127)
Numerical id 6
Author Koro (127)
Entry type Theorem
Classification msc 46B10
Synonym Alaoglu’s theorem