Blaschke products and the rank of backward shift invariant subspaces over the bidisk

DOI10.1016/j.jfa.2011.05.009zbMath1228.32006OpenAlexW2059116479MaRDI QIDQ639526

Kou Hei Izuchi, Yuko Izuchi, Kei-Ji Izuchi

Publication date: 22 September 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.05.009

zbMATH Keywords

Blaschke productHardy space over the bidiskrank of a backward shift invariant subspace

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (11)

Applications of Hilbert Module Approach to Multivariable Operator Theory ⋮ Ranks of backward shift invariant subspaces of the Hardy space over the bidisk ⋮ Ranks of fringe operators on finite Rudin type invariant subspaces ⋮ Mutually prime sequences of inner functions and the ranks of subspaces over the bidisk ⋮ Two inner sequences based invariant subspaces in \(H^2(\mathbb D^2)\) ⋮ SPLITTING INVARIANT SUBSPACES IN THE HARDY SPACE OVER THE BIDISK ⋮ Star-generating vectors of Rudin's quotient modules ⋮ Doubly commuting mixed invariant subspaces in the polydisc ⋮ Rank of finite Rudin type backward shift invariant subspaces over the bidisk ⋮ Multiplicities, invariant subspaces and an additive formula ⋮ Rank of a co-doubly commuting submodule is 2

Cites Work

• Beurling's theorem for the Bergman space
• Operator theory in the Hardy space over the bidisk. I
• The core operator and congruent submodules
• Ranks of invariant subspaces of the Hardy space over the bidisk
• Inner sequence based invariant subspaces in $H^{2}(D^2)$
• Certain Invariant Subspaces of H² and L² on a Bidisc
• The Validity of Beurling Theorems in Polydiscs
• The core function of submodules over the bidisk
• Operator theory in the Hardy space over the bidisk. III
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