Positive Matrices and Applications to Hankel Operators

Analysis Seminar
Wednesday, October 14, 2009 - 2:00pm
1 hour (actually 50 minutes)
Skiles 269
Purdue University
Given an "infinite symmetric matrix" W we give a simple condition, related to the shift operator being expansive on a certain sequence space, under which W is positive. We apply this result to AAK-type theorems for generalized Hankel operators, providing new insights related to previous work by S. Treil and A. Volberg. We also discuss applications and open problems.