### Aluthge iteration of an operator

- Series
- Analysis Seminar
- Time
- Monday, April 27, 2009 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Tin Yau Tam – 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.