Mutually prime sequences of inner functions and the ranks of subspaces over the bidisk

DOI10.1007/s00013-012-0394-yzbMath1264.47012OpenAlexW2078284692MaRDI QIDQ438605

Yuko Izuchi, Kei-Ji Izuchi, Kou Hei Izuchi

Publication date: 31 July 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0394-y

zbMATH Keywords

Hardy space over the bidiskmutually prime sequence of inner functionsrank of 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 (2)

Ranks of backward shift invariant subspaces of the Hardy space over the bidisk ⋮ Rank of finite Rudin type backward shift invariant subspaces over the bidisk

Cites Work

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• 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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