On similarity and reducing subspaces of a class of operator on the Dirichlet space

DOI10.4134/BKMS.B230504MaRDI QIDQ6614553

Caixing Gu, Yu Cheng Li, Hexin Zhang

Publication date: 7 October 2024

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Volterra operatormultiplication operatorDirichlet spacereducing subspace

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36)

Cites Work

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• Reducing subspaces of multiplication operators on the Dirichlet space
• Reducing subspaces on the annulus
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• A remark on the Volterra operator
• Reducing subspaces of analytic Toeplitz operators
• On two problems concerning linear transformations in Hilbert space
• Reducing subspaces of weighted shifts with operator weights
• Reducing subspaces for a class of multiplication operators on the Dirichlet space
• REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK
• Hardy Space Expectation Operators and Reducing Subspaces
• Reducing subspaces of weighted shift operators
• Multiplication Invariant Subspaces of Hardy Spaces
• Common reducing subspaces of several weighted shifts with operator weights

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