One dimensional perturbation of invariant subspaces in the Hardy space over the bidisk. I

zbMath1470.47011MaRDI QIDQ1635285

Kou Hei Izuchi, Yuko Izuchi, Kei-Ji Izuchi

Publication date: 6 June 2018

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1520391677

zbMATH Keywords

invariant subspaceHardy space over the bidiskone-dimensional perturbation

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)

Cites Work

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• On the rigidity of Hardy submodules
• On two variable Jordan block. II
• Rank-one commutators on invariant subspaces of the Hardy space on the bidisk. III
• Beurling's phenomenon in two variables
• The core function of submodules over the bidisk
• Operator theory in the Hardy space over the bidisk. III

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