On similarity and reducing subspaces of the \(n\)-shift plus certain weighted Volterra operator

DOI10.1155/2017/8370139zbMath1478.47026OpenAlexW2607362012WikidataQ59146436 ScholiaQ59146436MaRDI QIDQ2397033

Hao Chen, Wenhua Lan, Yu-Cheng Li

Publication date: 29 May 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/8370139

zbMATH Keywords

Bergman spacemultiplication operatorweighted Volterra operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Integral operators (47G10) Bergman spaces and Fock spaces (30H20)

Cites Work

• Hermitian weighted composition operators and Bergman extremal functions
• Reducing subspaces on the annulus
• Volterra invariant subspaces of \(H^p\)
• Invariant subspaces of the shift plus complex Volterra operator
• Invariant subspaces of parabolic self-maps in the Hardy space
• A remark on the Volterra operator
• Reducing subspaces of analytic Toeplitz operators
• On two problems concerning linear transformations in Hilbert space
• Hardy Space Expectation Operators and Reducing Subspaces
• Reducing subspaces of weighted shift operators
• Reducing Subspaces for a Class of Multiplication Operators
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