Operator theory on noncommutative domains

In this volume the author studies noncommutative domains $mathcalDfsubset B(mathcalH)n$ generated by positive regular free holomorphic functions $f$ on $B(mathcalH)n$, where $B(mathcalH)$ is the algebra of all bounded linear operators on a Hilbert space $mathcalH$. 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. (MEMO/205/964)