Wandering subspaces and the Beurling type theorem. III

DOI10.2969/jmsj/06420627zbMath1248.47008OpenAlexW2039220309MaRDI QIDQ431617

Kei-Ji Izuchi, Yuko Izuchi, Kou Hei Izuchi

Publication date: 29 June 2012

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1335444405

zbMATH Keywords

invariant subspacecomposition operatorfringe operatorwandering subspaceBeurling type theorem

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Linear composition operators (47B33)

Related Items (1)

Ranks of backward shift invariant subspaces of the Hardy space over the bidisk

Cites Work

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• Wandering subspaces and the Beurling type theorem. I
• Wandering subspaces and the Beurling type theorem. II
• Beurling type theorem on the Bergman space via the Hardy space of the bidisk
• Rank-one commutators on invariant subspaces of the Hardy space on the bidisk. III
• Beurling's theorem for the Bergman space
• Operator theory in the Hardy space over the bidisk. I
• Bergman-type reproducing kernels, contractive divisors, and dilations
• Wandering subspace theorems
• The core operator and congruent submodules
• On two problems concerning linear transformations in Hilbert space
• Wold-type decompositions and wandering subspaces for operators close to isometries
• Inner sequence based invariant subspaces in $H^{2}(D^2)$
• Invariant subspaces of the Dirichlet shift.
• Operator theory in the Hardy space over the bidisk. III

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