Free biholomorphic functions and operator model theory,II

Abstract

This is a continuation of the paper entitled "Free biholomorphic functions and operator model theory", in our attempt to transfer the free analogue of Nagy-Foias theory from the unit ball [B()n]1 to other noncommutative domains and varieties in B()n, using appropriate maps. The present paper treats the completely non-coisometric case and the case of noncommutative varieties.

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