Operator Theory on Noncommutative Domains

In this volume the author studies noncommutative domains $mathcal{D}_fsubset B(mathcal{H}) DEGREESn$ 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.