The wandering subspace property and Shimorin's condition of shift operator on the weighted Bergman spaces

DOI10.1007/s43037-021-00153-7OpenAlexW3210435541MaRDI QIDQ2242616

Tao Yu, Zhijie Wang, Changhui Wu

Publication date: 10 November 2021

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

Full work available at URL: https://doi.org/10.1007/s43037-021-00153-7

zbMATH Keywords

weighted Bergman spacesquotient moduleBeurling-type theoremwandering subspace property

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Bergman spaces and Fock spaces (30H20)

Cites Work

• Wandering subspaces and the Beurling type theorem. II
• Wandering subspace property of the shift operator on a class of invariant subspaces of the weighted Bergman space \(L_a^2(dA_2)\)
• Beurling type theorem on the Bergman space via the Hardy space of the bidisk
• Beurling's theorem for the Bergman space
• Bergman-type reproducing kernels, contractive divisors, and dilations
• Wandering subspace theorems
• Mean value surfaces with prescribed curvature form
• On two problems concerning linear transformations in Hilbert space
• Wold-type decompositions and wandering subspaces for operators close to isometries
• On the failure of optimal factorization for certain weighted bergman spaces
• On Beurling-type theorems in weighted 𝑙² and Bergman spaces

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