Shift-invariant subspaces invariant for composition operators on the Hardy-Hilbert space

DOI10.1090/S0002-9939-2014-12132-0zbMath1309.47020OpenAlexW2057028457MaRDI QIDQ2930625

Rebecca G. Wahl, Carl C. Cowen

Publication date: 19 November 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12132-0

zbMATH Keywords

composition operatorshift-invariant subspace

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items

Compact composition operators and Deddens algebras ⋮ Some properties of composition-differentiation operators ⋮ On the numerical ranges of composition operators induced by mappings with the Denjoy-Wolff point on the boundary ⋮ A class of invariant subspaces of weighted composition operators on the Hardy-Hilbert space ⋮ The invariant subspaces of the shift plus integer multiple of the Volterra operator on Hardy spaces ⋮ Some thoughts on composition operators on subspaces of the Hardy space ⋮ Weighted composition operators on Hardy-Smirnov spaces

Cites Work

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• Shift invariant subspaces of composition operators on \(H^{p}\)
• On two problems concerning linear transformations in Hilbert space
• Interpolation in H ∞
• Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk
• On Some Interpolation Problems for Analytic Functions

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