Standard operator models in the polydisc, II

DOI10.1512/iumj.1995.44.2005zbMath0853.47007OpenAlexW1967133382MaRDI QIDQ4884447

Florian-Horia Vasilescu, Raúl E. Curto

Publication date: 14 July 1996

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1995.44.2005

zbMATH Keywords

invariant subspacepolydiscisometriesunitarily equivalentmultishiftsregular unitary dilation\(\gamma\)-contractive commuting multioperatorstandard operator models

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (26)

Operator theory on noncommutative polydomains. I. ⋮ Multivariable Beurling–Lax representations: the commutative and free noncommutative settings ⋮ Moment problem with contractive solutions: the regular case ⋮ Isometric dilations of commuting contractions and Brehmer positivity ⋮ An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ Commutative Dilation Theory ⋮ Finite Dimensional Backward Shift Invariant Subspaces of a Class of Reproducing Kernel Hilbert Spaces ⋮ Hyperbolic geometry on noncommutative polyballs ⋮ Rigidity theorems for spherical hyperexpansions ⋮ Representations of \(C^*\)-algebras associated with noncommutative polyvarieties ⋮ Operator theory on noncommutative polydomains. II ⋮ Beurling quotient subspaces for covariant representations of product systems ⋮ Dilations and operator models of \(\mathcal{W}\)-hypercontractions ⋮ Operator theory on noncommutative varieties in polydomains ⋮ Noncommutative varieties, symmetric weighted Fock spaces, and multipliers ⋮ Operator theory on generalized Hartogs triangles ⋮ Operators Cauchy dual to 2-hyperexpansive operators: the multivariable case ⋮ Brerezin kernels and Wold decompositions associated with noncommutative polydomains ⋮ Joint similarity in admissible noncommutative polydomains ⋮ Berezin transforms on noncommutative varieties in polydomains ⋮ Operator theory on noncommutative domains ⋮ Multivariable backward-shift-invariant subspaces and observability operators ⋮ Berezin transforms on noncommutative polydomains ⋮ Operator theory in the Hardy space over the bidisk. II ⋮ Moment problems for multi-sequences of operators ⋮ The core operator and congruent submodules

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