Infinitely divisible metrics and curvature inequalities for operators in the Cowen-Douglas class
|What||Complex Analysis Seminar|
from 09:30 to 11:00
|Where||Seminarraum S1, Althanstrasse 12|
|Add event to calendar||
Abstarct. The curvature of a contraction in the Cowen-Douglas class of rank one on the unit disc is bounded above by the curvature of the backward shift operator. However, in general, an operator satisfying this curvature inequality need not be contractive. We find a stronger inequality for the curvature which ensures contractivity of the operator. We describe generalization to the case of commuting tuples.