Russo-Dye theorem

Let $A$ be a unital $C^{*}$-algebra. Then the unit ball of $A$ is the closed convex hull of the unitaries in $A$. Moreover, these unitary elements are extreme points of the unit ball.

Title	Russo-Dye theorem
Canonical name	RussoDyeTheorem
Date of creation	2013-03-22 16:01:52
Last modified on	2013-03-22 16:01:52
Owner	aube (13953)
Last modified by	aube (13953)
Numerical id	4
Author	aube (13953)
Entry type	Theorem
Classification	msc 47A60