Reducing subspaces for a class of multiplication operators on the Dirichlet space

DOI10.1090/S0002-9939-09-09859-1zbMath1182.47033OpenAlexW2002263233MaRDI QIDQ3395582

Lian Kuo Zhao

Publication date: 11 September 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09859-1

zbMATH Keywords

multiplication operatorDirichlet spacereducing subspace

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (8)

Reducibility for a class of analytic multipliers on the Dirichlet space ⋮ Reducing subspaces of multiplication operators on the Dirichlet space ⋮ Reducibility for a class of analytic multipliers on Sobolev disk algebra ⋮ Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces ⋮ Reducibility and unitarily equivalence for a class of analytic multipliers on the Dirichlet space ⋮ Reducibility and unitary equivalence of analytic multipliers on Sobolev disk algebra ⋮ Unnamed Item ⋮ Reducing subspaces of multiplication operators on function spaces

Cites Work

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• A representation formula for the Dirichlet integral
• Reducing subspace of analytic Toeplitz operators on the Bergman space
• Shifts on Hilbert spaces.
• Multiplication operators on the Bergman space via the Hardy space of the bidisk
• The Commutant of an Analytic Toeplitz Operator
• Reducing subspaces of weighted shift operators
• Reducing Subspaces for a Class of Multiplication Operators
• On a Class of Operators

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