Rank-one cross commutators on backward shift invariant subspaces on the bidisk

DOI10.1007/s10114-009-7215-7zbMath1193.47011OpenAlexW2022178497MaRDI QIDQ1034295

Kou Hei Izuchi, Kei-Ji Izuchi

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7215-7

zbMATH Keywords

Hardy spaceinvariant subspacebackward shift invariant subspacerank-one operatorcross commutator

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 (4)

One dimensional perturbation of invariant subspaces in the Hardy space over the bidisk. II ⋮ Mixed invariant subspaces over the bidisk. II ⋮ Mixed invariant subspaces over the bidisk ⋮ Ranks of cross commutators on backward shift invariant subspaces over the bidisk

Cites Work

• Rank-one commutators on invariant subspaces of the Hardy space on the bidisk
• On two variable Jordan block. II
• Selfadjoint commutators and invariant subspaces on the torus. II
• Backward shift invariant subspaces in the bidisc
• Commuting dual Toeplitz operators on the polydisk
• On two problems concerning linear transformations in Hilbert space
• The Validity of Beurling Theorems in Polydiscs
• Generalized Interpolation in H ∞
• Operator theory in the Hardy space over the bidisk. III
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