Non circularity of the numerical range of finite order elliptic automorphism composition operators

Abdolaziz Abdollahi, Shiraz University

Description

In this talk we consider the following conjecture, posed in 2000 by P. Bourdon and J. Shapiro: "The numerical range of a finite order elliptic automorphism composition operator is not a disc", and we give a positive answer to this conjecture.

 
Jul 21st, 5:30 PM Jul 21st, 5:50 PM

Non circularity of the numerical range of finite order elliptic automorphism composition operators

Cupples I Room 207

In this talk we consider the following conjecture, posed in 2000 by P. Bourdon and J. Shapiro: "The numerical range of a finite order elliptic automorphism composition operator is not a disc", and we give a positive answer to this conjecture.