Ranks of backward shift invariant subspaces of the Hardy space over the bidisk

DOI10.1007/s00209-012-1100-2zbMath1281.47004OpenAlexW2088975918MaRDI QIDQ358865

Yuko Izuchi, Kou Hei Izuchi, Kei-Ji Izuchi

Publication date: 9 August 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-012-1100-2

zbMATH Keywords

fringe operatorHardy space over the bidiskrank of backward shift invariant subspacesequence of inner functions

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

Ranks of fringe operators on finite Rudin type invariant subspaces ⋮ SPLITTING INVARIANT SUBSPACES IN THE HARDY SPACE OVER THE BIDISK ⋮ 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

• Wandering subspaces and the Beurling type theorem. III
• Mutually prime sequences of inner functions and the ranks of subspaces over the bidisk
• Wandering subspaces and the Beurling type theorem. I
• Blaschke products and the rank of backward shift invariant subspaces over the bidisk
• 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 $H^{2}(D^2)$
• Operator theory in the Hardy space over the bidisk. III
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