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Relaxed commutant lifting: an equivalent version and a new application

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

math.FAarXiv:math/0702835

Abstract

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 H2 operator-valued functions, is presented.

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