Invariant subspaces generated by a single function in the polydisk

DOI10.1134/S0001434617070215zbMath1386.32005arXiv1603.01988OpenAlexW3103225687MaRDI QIDQ1688330

Nazim Sadik, Beyaz Basak Koca

Publication date: 5 January 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01988

zbMATH Keywords

invariant subspacesinner functionsHardy space on the polydisk

Mathematics Subject Classification ID

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

Related Items (3)

Two types of invariant subspaces in the polydisc ⋮ On the invariant subspace problem via universal Toeplitz operators on the Hardy space over the bidisk ⋮ Singly generated invariant subspaces in the Hardy space on the unit ball

Cites Work

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• Invariant subspaces in the polydisk
• On two problems concerning linear transformations in Hilbert space
• Doubly commuting submodules of the Hardy module over polydiscs
• The Validity of Beurling Theorems in Polydiscs
• A Nonprincipal Invariant Subspace of the Hardy Space on the Torus

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