Doubly commuting mixed invariant subspaces in the polydisc

DOI10.1016/j.bulsci.2021.103051zbMath1478.32016arXiv2103.17102OpenAlexW3195180303MaRDI QIDQ2237714

Amit Maji, T. R. Sankar

Publication date: 28 October 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.17102

zbMATH Keywords

invariant subspaceHardy space over the polydisc

Mathematics Subject Classification ID

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

Cites Work

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• Mixed invariant subspaces over the bidisk
• Blaschke products and the rank of backward shift invariant subspaces over the bidisk
• Invariant subspaces in the polydisk
• Unitary equivalence of invariant subspaces in the polydisk
• Operator theory in the Hardy space over the bidisk. I
• Backward shift invariant subspaces in the bidisc
• On two problems concerning linear transformations in Hilbert space
• Ranks of invariant subspaces of the Hardy space over the bidisk
• Shifts on Hilbert spaces.
• Multiplication operators on the Bergman space via the Hardy space of the bidisk
• The Validity of Beurling Theorems in Polydiscs
• A commutant lifting theorem on the polydisc
• Defect operators for submodules of H[2[d]]
• A Wold-type decomposition for commuting isometric pairs
• Jordan blocks of $H^2(\mathbb{D}^n)$
• Characterization of Invariant subspaces in the polydisc
• Pairs of commuting isometries, I
• Analytic model of doubly commuting contractions

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