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

zbMath1470.47012MaRDI QIDQ1635286

Yuko Izuchi, Kou Hei 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/1520391678

zbMATH Keywords

invariant subspacecommutatorHardy space over the bidiskone-dimensional perturbationrank of operator

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

• Rank-one commutators on invariant subspaces of the Hardy space on the bidisk
• Ranks of cross commutators on backward shift invariant subspaces over the bidisk
• Rank-one cross commutators on backward shift invariant subspaces on the bidisk
• CROSS COMMUTATORS ON BACKWARD SHIFT INVARIANT SUBSPACES OVER THE BIDISK II
• The Validity of Beurling Theorems in Polydiscs
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