A note on Rudin's pathological submodule in \(H^{2}({\mathbb {D}}^2)\)

DOI10.1007/s00020-017-2380-zzbMath1495.47018OpenAlexW2620557806MaRDI QIDQ1677088

Yueshi Qin, Rongwei Yang

Publication date: 10 November 2017

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-017-2380-z

zbMATH Keywords

Hardy space over the bidiskHilbert-Schmidtsubmodule

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (1)

Pairs of commuting isometries, I

Cites Work

• Submodules of the Hardy module over the polydisc
• The core operator and congruent submodules
• On two problems concerning linear transformations in Hilbert space
• Doubly commuting submodules of the Hardy module over polydiscs
• Inner sequence based invariant subspaces in $H^{2}(D^2)$
• The Validity of Beurling Theorems in Polydiscs
• The core function of submodules over the bidisk
• Operator theory in the Hardy space over the bidisk. III
• Operator theory in the Hardy space over the bidisk. II
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