Quasi-wandering subspaces in a class of reproducing analytic Hilbert spaces

DOI10.1090/S0002-9939-2012-11290-0zbMath1279.47016MaRDI QIDQ2846849

Yong Chen

Publication date: 3 September 2013

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

zbMATH Keywords

invariant subspacequasi-wandering subspace\(d\)-shift operator tuplereproducing analytic Hilbert space

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (6)

Multivariable Beurling–Lax representations: the commutative and free noncommutative settings ⋮ Characteristic functions and functional models on noncommutative varieties ⋮ Wandering subspaces and quasi-wandering subspaces in the Hardy-Sobolev spaces ⋮ Characterization of pure contractive multipliers and applications ⋮ Ranks of commutators for a class of truncated Toeplitz operators ⋮ \(K\)-inner functions and \(K\)-contractions

Cites Work

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• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
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• On two problems concerning linear transformations in Hilbert space
• An invariant subspace of the Bergman space having the codimension two property.
• Invariant subspaces of the Dirichlet shift.
• On the failure of optimal factorization for certain weighted bergman spaces
• The backward shift on Dirichlet-type spaces

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