Berezin transforms on noncommutative varieties in polydomains

DOI10.1016/j.jfa.2013.07.015zbMath1298.47019arXiv1305.7159OpenAlexW2020093308MaRDI QIDQ2437043

Gelu Popescu

Publication date: 28 February 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.7159

zbMATH Keywords

characteristic functioninvariant subspaceFock spacedilation theoryBerezin transformfree holomorphic functionmultivariable operator theorynoncommutative varietynoncommutative polydomain

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items

Euler characteristic on noncommutative polyballs, Operator theory on noncommutative polydomains. I., Multivariable Beurling–Lax representations: the commutative and free noncommutative settings, Hyperbolic geometry on noncommutative polyballs, Representations of \(C^*\)-algebras associated with noncommutative polyvarieties, Bohr inequalities on noncommutative polydomains, Operator theory on noncommutative polydomains. II, Operator theory on noncommutative varieties in polydomains, Noncommutative varieties, symmetric weighted Fock spaces, and multipliers, Joint similarity in admissible noncommutative polydomains, Berezin transforms on noncommutative varieties in polydomains, Similarity problems in noncommutative polydomains, Bergman spaces over noncommutative domains and commutant lifting, Bohr inequalities for free holomorphic functions on polyballs, Noncommutative hyperballs, wandering subspaces, and inner functions, Brown-Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs, Free holomorphic functions on the noncommutative polydomains and universal models, Invariant subspaces and operator model theory on noncommutative varieties, Berezin transforms on noncommutative polydomains, Submodules in polydomains and noncommutative varieties, Multi-Toeplitz operators and free pluriharmonic functions, Constrained characteristic functions, multivariable interpolation, and invariant subspaces, Curvature invariant on noncommutative polyballs

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