A hyperbolic universal operator commuting with a compact operator

DOI10.1090/proc/13922OpenAlexW2747847053WikidataQ115546228 ScholiaQ115546228MaRDI QIDQ5863141

Eva A. Gallardo-Gutiérrez, Carl C. Cowen

Publication date: 11 March 2022

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

Full work available at URL: http://hdl.handle.net/1805/18551

zbMATH Keywords

Bergman spaceinvariant subspaceToeplitz operatorsimilaritycomposition operatorweighted composition operatorRota's universal operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items (1)

On the invariant subspace problem via universal Toeplitz operators on the Hardy space over the bidisk

Cites Work

• Boundedness, compactness and Schatten-class membership of weighted composition operators
• Unitary equivalence of one-parameter groups of Toeplitz and composition operators
• Invertible composition operators on \(H^ p\)
• An analytic Toeplitz operator that commutes with a compact operator and a related class of Toeplitz operators
• Invariant subspaces for the family of operators which commute with a completely continuous operator
• Rota's universal operators and invariant subspaces in Hilbert spaces
• On models for linear operators
• Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk
• The Commutant of an Analytic Toeplitz Operator
• WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE
• Bounded Analytic Functions
• Universal Operators and Invariant Subspaces
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