Polynomials in the Volterra and Ritt operators
Volume 67 / 2005
Banach Center Publications 67 (2005), 385-390
MSC: 47A10, 47A35, 47G10.
DOI: 10.4064/bc67-0-31
Abstract
We continue the paper [Ts] on the boundedness of polynomials in the Volterra operator. This provides new ways of constructing power-bounded operators. It seems interesting to point out that a similar procedure applies to the operators satisfying the Ritt resolvent condition: compare Theorem 5 and Theorem 9 below.
