Abstract
ABSTRACT Let A be a square matrix and let Ω be an open set in the plane containing the spectrum of A. We consider the problem of maximizing the operator norm amongst all holomorphic functions f from Ω into the closed unit disk. If is extremal for this problem and if , then it turns out that the matrix has special properties, among them the fact that its principal left and right singular vectors are mutually orthogonal. We study this class of exceptional matrices . In particular, we are interested in the extent to which they are characterized by the aforementioned orthogonality property.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
