Analytic model of doubly commuting contractions

DOI10.7153/oam-11-07zbMath1375.32011arXiv1310.0950OpenAlexW2964015275MaRDI QIDQ5346605

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Publication date: 26 May 2017

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0950

zbMATH Keywords

shift operatorscommuting contractionsSz.-Nagy-Foias modelHardy space over the polydisc

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (5)

Geometric dilations and operator annuli ⋮ Dilation theory and analytic model theory for doubly commuting sequences of \(C_{\cdot 0}\)-contractions ⋮ Doubly commuting mixed invariant subspaces in the polydisc ⋮ Operator positivity and analytic models of commuting tuples of operators ⋮ A Shimorin-type analytic model on an annulus for left-invertible operators and applications

Cites Work

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• Characteristic function of a pure commuting contractive tuple
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Poisson transforms on some \(C^*\)-algebras generated by isometries
• \(H^p\) spaces of several variables
• Doubly commuting submodules of the Hardy module over polydiscs
• An Introduction to Hilbert Module Approach to Multivariable Operator Theory
• The Validity of Beurling Theorems in Polydiscs
• Standard Models for some Commuting Multioperators
• A Generalization of Von Neumann's Inequality to the Complex Ball
• Theory of Reproducing Kernels

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