Reducing subspaces on the annulus

DOI10.1007/s00020-011-1874-3zbMath1257.47011arXiv0902.1794OpenAlexW2171159329MaRDI QIDQ543469

Yun-Su Kim, Ronald G. Douglas

Publication date: 17 June 2011

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1794

zbMATH Keywords

Bergman spacesHardy spacesreducing subspacesbilateral weighted shifts

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Lattices of subspaces and geometric closure systems (51D25)

Related Items (13)

Reducing subspaces for a class of non-analytic Toeplitz operators on the bidisk ⋮ On similarity and reducing subspaces of the \(n\)-shift plus certain weighted Volterra operator ⋮ Restriction of Toeplitz operators on their reducing subspaces ⋮ On quasi-affinity and reducing subspaces of multiplication operator on a certain closed subspace ⋮ Multiplication operators on Hardy and weighted Bergman spaces over planar regions ⋮ On quasi-similarity of multiplication operator on the weighted Bergman space in the unit ball ⋮ Bundle shifts and Toeplitz operators on \(\mathcal{N}_{\psi}\)-type quotient modules of the tridisc ⋮ On similarity and reducing subspaces of multiplication operator on Sobolev disk algebra ⋮ On quasi-similarity and reducing subspaces of multiplication operator on the Fock space ⋮ Reducing subspaces of multiplication operators on function spaces ⋮ Reducing subspaces of analytic Toeplitz operators on the Bergman space of the annulus ⋮ A trace formula on invariant subspaces of Hardy space induced by rotation-invariant Borel measure ⋮ The operator \(M_{z_1^n z_2^n}\) on subspaces of Bergman spaces over the biannulus

Cites Work

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• Multiplication by the coordinate functions on the Hardy space of the unit sphere in \(\mathbb{C}^n\)
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• Hardy Space Expectation Operators and Reducing Subspaces
• The Commutants of Certain Analytic Toeplitz Operators
• Reducing subspaces of weighted shift operators
• Reducing Subspaces for a Class of Multiplication Operators
• Complex geometry and operator theory

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