Invariant subspaces of parabolic self-maps in the Dirichlet space

DOI10.1016/j.jfa.2014.02.003zbMath1311.47035OpenAlexW1995309392MaRDI QIDQ2253102

Manuel Ponce-Escudero, Alfonso Montes-Rodríguez

Publication date: 25 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.02.003

zbMATH Keywords

invariant subspaceDirichlet spacecomposition operatorcompletely normal operatorparabolic non-automorphism

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (1)

On quasi-similarity of multiplication operator on the weighted Bergman space in the unit ball

Cites Work

• Unnamed Item
• Linear fractional composition operators on \(H^ 2\)
• Adjoints of linear fractional composition operators on the Dirichlet space
• The spectra of composition operators from linear fractional maps acting upon the Dirichlet space
• Invariant subspaces of parabolic self-maps in the Hardy space
• A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces

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