Relaxed commutant lifting: an equivalent version and a new application

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

Relaxed commutant lifting: an equivalent version and a new application

Authors

Frazho, A. E.

ter Horst, S.

Kaashoek, M. A.

Description

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.
14 pages