Rank of finite Rudin type backward shift invariant subspaces over the bidisk

DOI10.1007/S11785-015-0471-XzbMath1422.47015OpenAlexW634580776MaRDI QIDQ521955

Yuko Izuchi, Kou Hei Izuchi, Kei-Ji Izuchi

Publication date: 12 April 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-015-0471-x

zbMATH Keywords

Hardy space over the bidiskinner functionsbackward shift invariant subspacerank of invariant subspace

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (1)

Ranks of fringe operators on finite Rudin type invariant subspaces

Cites Work

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• Ranks of backward shift invariant subspaces of the Hardy space over the bidisk
• 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
• On two problems concerning linear transformations in Hilbert space
• Ranks of invariant subspaces of the Hardy space over the bidisk
• Inner sequence based invariant subspaces in $H^{2}(D^2)$

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