Minimal invariant subspaces for composition operators
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Publication:627938
DOI10.1016/j.matpur.2010.04.003zbMath1213.47007OpenAlexW2003325580MaRDI QIDQ627938
Eva A. Gallardo-Gutiérrez, Pamela Gorkin
Publication date: 4 March 2011
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2010.04.003
Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38)
Related Items (12)
An introduction to Rota's universal operators: properties, old and new examples and future issues ⋮ Rota's universal operators and invariant subspaces in Hilbert spaces ⋮ Perturbations of invariant subspaces of operators with Hilbert-Schmidt Hermitian components ⋮ Universal composition operators on weighted Dirichlet spaces ⋮ Composition operators with universal translates on \({S^2}(\mathbb{D})\) ⋮ Superposition operators, \(\mathcal B\)-universal functions, and the hyperbolic composition operator ⋮ Problems on Weighted and Unweighted Composition Operators ⋮ Quasi-universal functions for sequences of composition operators on \(H ^{2}\) via Hoffman's theory ⋮ Consequences of universality among Toeplitz operators ⋮ Nonminimal cyclic invariant subspaces of hyperbolic composition operators ⋮ On Universal Operators and Universal Pairs ⋮ An overview of some recent developments on the Invariant Subspace Problem
Cites Work
- Invertible composition operators on \(H^ p\)
- Eigenfunctions of the hyperbolic composition operator
- Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk
- On the Minimal Invariant Subspaces of the Hyperbolic Composition Operator
- Composition Operators
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