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Operator theory on noncommutative domains

✍ Scribed by Gelu Popescu


Publisher
Amer Mathematical Society
Year
2010
Tongue
English
Leaves
137
Series
Memoirs of the American Mathematical Society 0964
Category
Library

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✦ Synopsis


In this volume the author studies noncommutative domains $\mathcal{D}_f\subset B(\mathcal{H})^n$ generated by positive regular free holomorphic functions $f$ on $B(\mathcal{H})^n$, 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. (MEMO/205/964)


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