Rank of a co-doubly commuting submodule is 2

DOI10.1090/proc/13792zbMath1464.47005arXiv1702.01263OpenAlexW2963799866MaRDI QIDQ3130841

B. Krishna Das, Arup Chattopadhyay, Jaydeb Sarkar

Publication date: 29 January 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01263

zbMATH Keywords

Hardy spaceinvariant subspacebidiskrank of an operator \(n\)-tuple

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (1)

Multiplicities, invariant subspaces and an additive formula

Cites Work

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• Ranks of backward shift invariant subspaces of the Hardy space over the bidisk
• Star-generating vectors of Rudin's quotient modules
• Tensor product of quotient Hilbert modules
• Blaschke products and the rank of backward shift invariant subspaces over the bidisk
• Operator theory in the Hardy space over the bidisk. I
• Ranks of invariant subspaces of the Hardy space over the bidisk
• Inner sequence based invariant subspaces in $H^{2}(D^2)$
• Jordan blocks of $H^2(\mathbb{D}^n)$
• Operator theory in the Hardy space over the bidisk. III

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