The mean ergodic theorem of von Neumann

Wednesday, April 6, 2016 - 16:00 to 16:50
427 Thackeray

Abstract or Additional Information


We will discuss the von Neumann ergodic theorem, which roughly states that, 
for a unitary operator on Hilbert space, the arithmetic means of its iterates will converge 
to the orthogonal projection onto the subspace consisting of the operator's fixed points.  
We will include elements of the proof and a relationship to dynamical systems.