Aluthge iteration of an operator

Series: 
Analysis Seminar
Monday, April 27, 2009 - 15:00
1 hour (actually 50 minutes)
Location: 
Skiles 255
,  
Department of Mathematics, Auburn University
Let A be a Hilbert space operator. If A = UP is the polar decomposition of A, and 0 < \lambda < 1, the \lambda-Aluthge transform of A is defined to be the operator \Delta_\lambda = P^\lambda UP^{1-\lambda}. We will discuss the recent progress on the convergence of the iteration. Infinite and finite dimensional cases will be discussed.