Document Type

Article

Publication Date

2012

Keywords

Non-selfadjoint operator algebras, weighted shifts, biholomorphisms

Abstract

Noncommutative domain algebras are noncommutative analogues of the algebras of holomorphic functions on domains of Cn defined by holomorphic polynomials, and they generalize the noncommutative Hardy algebras. We present here a complete classification of these algebras based upon techniques inspired by multivariate complex analysis, and more specifically the classification of domains in hermitian spaces up to biholomorphic equivalence.

Included in

Mathematics Commons

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