Wandering subspaces and the Beurling type theorem. I

DOI10.1007/s00013-010-0178-1zbMath1219.47017OpenAlexW1971525530MaRDI QIDQ607706

Yuko Izuchi, Kou Hei Izuchi, Kei-Ji Izuchi

Publication date: 3 December 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231949

zbMATH Keywords

Bergman spaceinvariant subspacewandering subspaceBeurling type theorem

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 (12)

On Wold Type Decomposition for Closed Range Operators ⋮ Multivariable Beurling–Lax representations: the commutative and free noncommutative settings ⋮ An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ Ranks of backward shift invariant subspaces of the Hardy space over the bidisk ⋮ Wandering subspaces and quasi-wandering subspaces in the Hardy-Sobolev spaces ⋮ Finite zero-based invariant subspaces of the shift operator on reproducing kernel spaces ⋮ Random weighted shifts ⋮ Wandering subspaces and the Beurling type theorem. III ⋮ Mutually prime sequences of inner functions and the ranks of subspaces over the bidisk ⋮ Beurling type theorem on the Hilbert space generated by a positive sequence ⋮ Generating wandering subspaces for doubly commuting covariant representations ⋮ Wold-type decomposition for some regular operators

Cites Work

• Beurling type theorem on the Bergman space via the Hardy space of the bidisk
• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• Beurling's theorem for the Bergman space
• Bergman-type reproducing kernels, contractive divisors, and dilations
• Wandering subspace theorems
• On two problems concerning linear transformations in Hilbert space
• Wold-type decompositions and wandering subspaces for operators close to isometries
• An invariant subspace of the Bergman space having the codimension two property.
• Interpolating sequences and invariant subspaces of given index in the Bergman spaces.
• Unnamed Item

This page was built for publication: Wandering subspaces and the Beurling type theorem. I