Star-generating vectors of Rudin's quotient modules

DOI10.1016/J.JFA.2014.09.024zbMath1331.47009arXiv1404.6829OpenAlexW2963342620MaRDI QIDQ466247

Arup Chattopadhyay, Jaydeb Sarkar, B. Krishna Das

Publication date: 24 October 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6829

zbMATH Keywords

Hardy spaceinvariant subspaceBlaschke productgenerating setquotient module

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) Tensor products in functional analysis (46M05) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (5)

Ranks of fringe operators on finite Rudin type invariant subspaces ⋮ On quotient modules of H²(𝔻ⁿ): essential normality and boundary representations ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory ⋮ Multiplicities, invariant subspaces and an additive formula ⋮ Rank of a co-doubly commuting submodule is 2

Cites Work

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• Tensor product of quotient Hilbert modules
• Blaschke products and the rank of backward shift invariant subspaces over the bidisk
• Invariant subspaces in the polydisk
• Characteristic spaces and rigidity for analytic Hilbert modules
• Submodules of the Hardy module over the polydisc
• Ranks of invariant subspaces of the Hardy space over the bidisk
• Inner sequence based invariant subspaces in $H^{2}(D^2)$
• Algebraic Reduction and Rigidity for Hilbert Modules

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