Rank-one commutators on invariant subspaces of the Hardy space on the bidisk

DOI10.1016/J.JMAA.2005.04.021zbMath1099.47003OpenAlexW2046252371MaRDI QIDQ819685

Kou Hei Izuchi, Kei-Ji Izuchi

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.021

zbMATH Keywords

invariant subspacerank-one operatorHardy space on the bidisk

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (11)

One dimensional perturbation of invariant subspaces in the Hardy space over the bidisk. II ⋮ Kreĭn space representation and Lorentz groups of analytic Hilbert modules ⋮ Invariant subspaces having two side frames over the bidisk ⋮ Properties of Beurling-type submodules via Agler decompositions ⋮ Cyclicity of reproducing kernels in weighted Hardy spaces over the bidisk ⋮ A note on classification of submodules in $H^{2}(D^{2})$ ⋮ Mixed invariant subspaces over the bidisk. II ⋮ Mixed invariant subspaces over the bidisk ⋮ Properties of vector-valued submodules 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

Cites Work

• Selfadjoint commutators and invariant subspaces on the torus. II
• The Validity of Beurling Theorems in Polydiscs
• Operator theory in the Hardy space over the bidisk. III
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