Noncommutative multivariable operator theory

DOI10.1007/s00020-012-2012-6zbMath1277.47017OpenAlexW2023369354MaRDI QIDQ1946583

Gelu Popescu

Publication date: 15 April 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-2012-6

zbMATH Keywords

characteristic functioninvariant subspacecommutant liftingNevanlinna-Pick interpolationmultivariable operator theoryweighted Fock spacenoncommutative Poisson transformfree biholomorphic functionnoncommutative Reinhardt domainoperator model theory

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Dilations, extensions, compressions of linear operators (47A20) Noncommutative function spaces (46L52) Canonical models for contractions and nonselfadjoint linear operators (47A45) Holomorphic maps in nonlinear functional analysis (46T25)

Related Items (4)

Wandering subspaces and inner operators ⋮ The semicircular law of free probability as noncommutative multivariable operator theory ⋮ Constrained characteristic functions, multivariable interpolation, and invariant subspaces ⋮ Toeplitz corona and the Douglas property for free functions

Cites Work

• Free biholomorphic functions and operator model theory
• Classification of noncommutative domain algebras
• Every completely polynomially bounded operator is similar to a contraction
• Characteristic function of a pure commuting contractive tuple
• On CNC commuting contractive tuples
• Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
• Interpolation problems in several variables
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Poisson transforms on some \(C^*\)-algebras generated by isometries
• Noncommutative interpolation and Poisson transforms
• Characteristic functions for multicontractions and automorphisms of the unit ball
• Noncommutative Berezin transforms and multivariable operator model theory
• Characteristic function for polynomially contractive commuting tuples
• On two problems concerning linear transformations in Hilbert space
• Isomorphisms of Non-Commutative Domain Algebras
• Operator theory on noncommutative varieties, II
• Operator theory on noncommutative domains
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• A Generalization of Von Neumann's Inequality to the Complex Ball
• Free Biholomorphic Classification of Noncommutative Domains
• Operator theory on noncommutative varieties
• Generalized Interpolation in H ∞

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