Noncommutative hyperballs, wandering subspaces, and inner functions

DOI10.1016/J.JFA.2019.03.013zbMath1476.47007OpenAlexW2934849931MaRDI QIDQ1738992

Gelu Popescu

Publication date: 24 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2019.03.013

zbMATH Keywords

invariant subspaceFock spaceinner functionwandering subspacemultivariable operator theorynoncommutative varietynoncommutative hyperball

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Canonical models for contractions and nonselfadjoint linear operators (47A45) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (3)

Dilations and operator models of \(\mathcal{W}\)-hypercontractions ⋮ Wandering subspaces and inner operators ⋮ Bergman spaces over noncommutative domains and commutant lifting

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An invariant subspace theorem and invariant subspaces of analytic reproducing kernel Hilbert spaces. II
• A Beurling type theorem in weighted Bergman spaces
• Translation invariant spaces
• Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Poisson transforms on some \(C^*\)-algebras generated by isometries
• Beurling's theorem for the Bergman space
• Bergman inner functions and \(m\)-hypercontractions
• Invariant subspaces and operator model theory on noncommutative varieties
• Invariant subspaces and Nevanlinna-Pick kernels
• Dilations, wandering subspaces, and inner functions
• Berezin transforms on noncommutative varieties in polydomains
• Noncommutative Berezin transforms and multivariable operator model theory
• A characteristic operator function for the class of \(n\)-hypercontractions
• Harmonic analysis of operators on Hilbert space
• On two problems concerning linear transformations in Hilbert space
• Wold-type decompositions and wandering subspaces for operators close to isometries
• Operator-valued Bergman inner functions as transfer functions
• Shifts on Hilbert spaces.
• Operator theory on noncommutative domains
• Invariant subspaces of the Dirichlet shift.
• Standard Models for some Commuting Multioperators
• A Generalization of Von Neumann's Inequality to the Complex Ball
• On Beurling-type theorems in weighted 𝑙² and Bergman spaces
• An invariant subspace theorem and invariant subspaces of analytic reproducing kernel Hilbert spaces. I
• Operator theory on noncommutative varieties

This page was built for publication: Noncommutative hyperballs, wandering subspaces, and inner functions