# Operator Theory on Noncommutative Domains

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In this volume the author studies noncommutative domains $\mathcal{D}_f\subset B(\mathcal{H}) DEGREESn$ generated by positive regular free holomorphic functions $f$ on $B(\mathcal{H}) DEGREESn$, where $B(\mathcal{H})$ is the algebra of all bounded linear operators on a Hilbert space $\mathcal{H}$. Table of Contents: Introduction; Operator algebras associated with noncommutative domains; Free holomorphic functions on noncommutative domains; Model theory and unitary invariants on noncommutative domains; Commutant lifting and applications; Bibliography.Math. J. 56 (2007), no. 1, 481a499. MR2305944 (2008d:47025) A. Beurling On two problems concerning linear ... MR2183594 (2006m:47012) T. Bhattacharyya, J. Eschmeier, and J. Sarkar, On CNC commuting contractive tuples, Proc.

 Title : Operator Theory on Noncommutative Domains Author : Gelu Popescu Publisher : American Mathematical Soc. - 2010

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