Inner sequence based invariant subspaces in $H^{2}(D^2)$

DOI10.1090/S0002-9939-07-08745-XzbMath1137.47006MaRDI QIDQ3438116

Michio Seto, Rongwei Yang

Publication date: 15 May 2007

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

zbMATH Keywords

Blaschke productHardy space over the bidiskcore operatorJordan operator

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (21)

Kreĭn space representation and Lorentz groups of analytic Hilbert modules ⋮ A characterization of submodules via the Beurling-Lax-Halmos theorem ⋮ Ranks of backward shift invariant subspaces of the Hardy space over the bidisk ⋮ A note on Rudin's pathological submodule in \(H^{2}({\mathbb {D}}^2)\) ⋮ Two types of invariant subspaces in the polydisc ⋮ Ranks of fringe operators on finite Rudin type invariant subspaces ⋮ On the model and invariant subspaces for pairs of commuting isometries ⋮ Wandering subspaces and the Beurling type theorem. III ⋮ Mutually prime sequences of inner functions and the ranks of subspaces over the bidisk ⋮ Blaschke products and the rank of backward shift invariant subspaces over the bidisk ⋮ Two inner sequences based invariant subspaces in \(H^2(\mathbb D^2)\) ⋮ A perturbation theory for core operators of Hilbert-Schmidt submodules ⋮ SPLITTING INVARIANT SUBSPACES IN THE HARDY SPACE OVER THE BIDISK ⋮ Star-generating vectors of Rudin's quotient modules ⋮ Tensor product of quotient Hilbert modules ⋮ Rank of finite Rudin type backward shift invariant subspaces over the bidisk ⋮ Rudin's submodules of \(H^2(\mathbb{D}^2)\) ⋮ Functional spectrum of contractions ⋮ A New Proof that Rudin’s Module is not Finitely Generated ⋮ Ranks of invariant subspaces of the Hardy space over the bidisk ⋮ Rank of a co-doubly commuting submodule is 2

Cites Work

• On two variable Jordan block. II
• The core function of submodules over the bidisk
• Operator theory in the Hardy space over the bidisk. III
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