Publication Date
2012
Document Type
Article
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.
Recommended Citation
Arias, A. & Latrémolièr, F. (2012). Classification of noncommutative domain algebras. Mathematics Preprint Series. Retrieved from https://digitalcommons.du.edu/math_preprints/32
Comments
The final version of this article published in Comptes Rendus Mathematique is available online at: https://doi.org/10.1016/j.crma.2012.06.003