Complements to models for noncommuting operators

DOI10.1016/0022-1236(84)90059-4zbMath0581.47007OpenAlexW1998133878MaRDI QIDQ1067570

Arthur E. Frazho

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90059-4

zbMATH Keywords

Fock spaceWold decompositioncharacteristic function theorydilation theory for two noncommuting operatorsSchäffer constructionSz.-Nagy-Foias lifting theorem

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (22)

Characteristic functions and functional models on noncommutative varieties ⋮ Isometric Dilations for Infinite Sequences of Noncommuting Operators ⋮ Multi-analytic operators on Fock spaces ⋮ Free functions with symmetry ⋮ The kernels of Hankel operators on the full Fock space ⋮ Geometric dilations and operator annuli ⋮ The isomorphism problem for some universal operator algebras ⋮ Isometric Dilations of Non-Commuting Finite Rank n-Tuples ⋮ Noncommutative interpolation and Poisson transforms ⋮ Wold-type decompositions for a commutative pair of noncommutative semigroups of isometries ⋮ On intertwining dilations for sequences of noncommuting operators ⋮ The inverse commutant lifting problem. I: Coordinate-free formalism ⋮ Curvature invariant for Hilbert modules over free semigroup algebras ⋮ Absolutely continuous representations and a Kaplansky density theorem for free semigroup algebras ⋮ Dilating covariant representations of the non-commutative disc algebras ⋮ Submodules in polydomains and noncommutative varieties ⋮ Standard noncommuting and commuting dilations of commuting tuples ⋮ Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras ⋮ The outer spectral radius and dynamics of completely positive maps ⋮ Interpolation problems in several variables ⋮ Noncommutative ball maps ⋮ Free outer functions in complete Pick spaces

Cites Work

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• Models for n-tuples of noncommuting operators
• Remark to a paper of A. E. Frazho: Models for noncommuting operators
• Models for noncommuting operators
• Lifting commuting operators
• A Shift Operator Approach to Bilinear System Theory
• A shift operator approach to state-affine system theory
• On unitary dilations of contractions

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