Invariant subspaces and operator model theory on noncommutative varieties

DOI10.1007/s00208-018-1714-8zbMath1460.47005OpenAlexW2809041029WikidataQ129637930 ScholiaQ129637930MaRDI QIDQ1784177

Gelu Popescu

Publication date: 26 September 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-018-1714-8

zbMATH Keywords

characteristic functionsuniversal modelwandering subspacesBeurling-Lax-Halmos-type representationjoint invariant subspacesnoncommutative regular domain

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) 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 (10)

Multivariable Beurling–Lax representations: the commutative and free noncommutative settings ⋮ Characteristic functions and functional models on noncommutative varieties ⋮ Noncommutative partially convex rational functions ⋮ Noncommutative partial convexity via \(\Gamma\)-convexity ⋮ Operator theory on noncommutative polydomains. II ⋮ Operator theory on noncommutative varieties in polydomains ⋮ Noncommutative varieties, symmetric weighted Fock spaces, and multipliers ⋮ Bergman spaces over noncommutative domains and commutant lifting ⋮ Noncommutative hyperballs, wandering subspaces, and inner functions ⋮ Multiplicities, invariant subspaces and an additive formula

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