Free Biholomorphic Classification of Noncommutative Domains

DOI10.1093/IMRN/RNQ093zbMath1235.47011arXiv1003.5139OpenAlexW2078167862MaRDI QIDQ5391144

Gelu Popescu

Publication date: 6 April 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5139

zbMATH Keywords

free holomorphic functionnoncommutative Hardy algebradomain algebranoncommutative Berezin transformcompletely isometric isomorphismfree biholomorphic mapnoncommutative radial domainpositive regular free holomorphic function

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Noncommutative function spaces (46L52)

Related Items (9)

Aspects of non-commutative function theory ⋮ Norm preserving extensions of holomorphic functions defined on varieties in \(\mathbb{C}^n\) ⋮ Noncommutative multivariable operator theory ⋮ Crossed Products of Operator Algebras ⋮ A non-commutative Julia inequality ⋮ Free holomorphic functions on the noncommutative polydomains and universal models ⋮ Non-commutative functional calculus ⋮ The implicit function theorem and free algebraic sets ⋮ Berezin transforms on noncommutative polydomains

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