On the structure of contraction operators with applications to invariant subspaces

DOI10.1016/0022-1236(86)90031-5zbMath0607.47004OpenAlexW1988076839MaRDI QIDQ1085410

Carl Pearcy, Bernard Chevreau

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90031-5

zbMATH Keywords

dilationstructure theoryclass A-(aleph null)dual algebra techniquesScott Brown's proof of the existence of nontrivial invariant subspaces for a subnormal operatorstrong factorization property

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Structure theory of linear operators (47A65) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (5)

On the structure of contraction operators. I ⋮ On the structure of contraction operators. II ⋮ Structure theory and reflexivity of contraction operators ⋮ Invariant subspaces of operator algebras ⋮ \(L^1\)-factorization for \(C_{00}\)-contractions with isometric functional calculus

Cites Work

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• Some invariant subspaces for subnormal operators
• Dilation theory and systems of simultaneous equations in the predual of an operator algebra. I
• Dilation theory and systems of simultaneous equations in the predual of an operator algebra. II
• On \(C_{00}\)-contractions with dominating spectrum
• On the reflexivity of algebras and linear spaces of operators
• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I

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