Invariant Subspaces for Algebras of Subnormal Operators

DOI10.2307/2046595zbMath0593.47025OpenAlexW4247159110MaRDI QIDQ3723156

James E. Thomson

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046595

zbMATH Keywords

subspaceevery cyclic subnormal operator has a nontrivial hyperinvariantevery cyclic subnormal operator has a nontrivial hyperinvariant subspaceevery subnormal operator has a nontrivial invariant subspaceevery subnormal operator has a rationally invariant subspace

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15)

Related Items 7

Positive answer to the invariant and hyperinvariant subspaces problems for hyponormal operators ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Invariant Subspaces for Algebras of Subnormal Operators. II ⋮ Invariant Subspaces of Finite Codimension for Measures with Thin Support ⋮ Thomson’s theorem on mean square polynomial approximation ⋮ An overview of some recent developments on the Invariant Subspace Problem ⋮ Hyperinvariant subspaces for some subnormal operators

Cites Work

• Unnamed Item
• Some invariant subspaces for subnormal operators
• Point evaluations, invariant subspaces and approximation in the mean by polynomials
• Invariant subspaces and weighted polynomial approximation
• Invariant subspaces and rational approximation

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