Riesz composition operators

Paul S. Bourdon and Joel H. Shapiro

Vol. 181 (1997), No. 2, 231–246

DOI: 10.2140/pjm.1997.181.231

Abstract

We give a sufficient condition for a univalently induced composition operator on the Hardy space H² to be a Riesz operator. We then establish that every Riesz composition operator has a Koenigs model and explore connections our work has with the model theory and spectral theory of composition operators.

Milestones

Received: 12 June 1996

Published: 1 December 1997