Relaxed commutant lifting: an equivalent version and a new application

A. E. Frazho, S. ter Horst, M. A. Kaashoek

Published 2007-02-27Version 1

This paper presents a few additions to commutant lifting theory. An operator interpolation problem is introduced and shown to be equivalent to the relaxed commutant lifting problem. Using this connection a description of all solutions of the former problem is given. Also a new application, involving bounded operators induced by $H^2$ operator-valued functions, is presented.