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Free biholomorphic functions and operator model theory,II (1112.0199v1)
Published 1 Dec 2011 in math.FA and math.OA
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 $[B(\cH)n]_1$ to other noncommutative domains and varieties in $B(\cH)n$, using appropriate maps. The present paper treats the completely non-coisometric case and the case of noncommutative varieties.