Positive Matrices and Applications to Hankel Operators

Series: 
Analysis Seminar
Wednesday, October 14, 2009 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 269
,  
Purdue University
Organizer: 
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.