Ranks of invariant subspaces of the Hardy space over the bidisk

DOI10.1515/CRELLE.2011.069zbMath1234.47002OpenAlexW2331318856MaRDI QIDQ3096797

Kou Hei Izuchi, Yuko Izuchi, Kei-Ji Izuchi

Publication date: 14 November 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2011.069

zbMATH Keywords

Hardy spaceinvariant subspacerank

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15)

Related Items (13)

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 ⋮ Blaschke products and the rank of backward shift invariant subspaces over the bidisk ⋮ Two inner sequences based invariant subspaces in \(H^2(\mathbb D^2)\) ⋮ 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 ⋮ Rudin's submodules of \(H^2(\mathbb{D}^2)\) ⋮ Multiplicities, invariant subspaces and an additive formula ⋮ Rank of a co-doubly commuting submodule is 2

Cites Work

• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• The core operator and congruent submodules
• On two problems concerning linear transformations in Hilbert space
• An Interpolation Problem for Bounded Analytic Functions
• Inner sequence based invariant subspaces in $H^{2}(D^2)$
• Operator theory in the Hardy space over the bidisk. III

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