Invariant subspaces of the shift plus complex Volterra operator

DOI10.1016/j.jmaa.2015.01.056zbMath1308.47006arXiv1501.05985OpenAlexW2964095035MaRDI QIDQ2264015

Bhupendra Paudyal, Željko Čučković

Publication date: 19 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05985

zbMATH Keywords

Hardy spaceVolterra operatorshift operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Hardy spaces (30H10)

Related Items (16)

Generalized slant Toeplitz operators on the derivative Hardy space \(S^2(\mathbb{D})\) ⋮ Unnamed Item ⋮ Strict singularity of weighted composition operators on derivative Hardy spaces ⋮ On similarity and reducing subspaces of the \(n\)-shift plus certain weighted Volterra operator ⋮ Volterra-type operators on the minimal Möbius-invariant space ⋮ Volterra type operators on \(S^p(\mathbb{D})\) spaces ⋮ On quasi-similarity of multiplication operator on the weighted Bergman space in the unit ball ⋮ The commutant and invariant subspaces for dual truncated Toeplitz operators ⋮ Weighted composition operators on spaces of functions with derivative in a Bergman space ⋮ Unnamed Item ⋮ The lattices of invariant subspaces of a class of operators on the Hardy space ⋮ Order boundedness of weighted composition operators on weighted Dirichlet spaces and derivative Hardy spaces ⋮ Composition and multiplication operators on the derivative Hardy space ⋮ Mirror operator and its application on chaos ⋮ The invariant subspaces of the shift plus integer multiple of the Volterra operator on Hardy spaces ⋮ Geometric properties of the differential shift plus complex Volterra operator

Cites Work

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• Hermitian weighted composition operators and Bergman extremal functions
• Volterra invariant subspaces of \(H^p\)
• Invariant subspaces of parabolic self-maps in the Hardy space
• A remark on the Volterra operator
• The Closed Ideals in an Algebra of Analytic Functions

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