Beurling type theorem on the Hilbert space generated by a positive sequence

DOI10.1007/s10114-019-7444-3zbMath1422.47017OpenAlexW2965803881MaRDI QIDQ2273251

Changhui Wu, Zhijie Wang, Tao Yu

Publication date: 18 September 2019

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

Full work available at URL: https://doi.org/10.1007/s10114-019-7444-3

zbMATH Keywords

invariant subspacewandering subspaceBeurling type theorem

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (1)

\(M_\varphi\)-type submodules over the bidisk

Cites Work

• 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
• 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 Introduction to the Theory of Reproducing Kernel Hilbert Spaces
• An invariant subspace of the Bergman space having the codimension two property.
• Interpolating sequences and invariant subspaces of given index in the Bergman spaces.

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