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A New Proof that Rudin’s Module is not Finitely Generated

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Publication:3612919
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DOI10.1007/978-3-7643-8893-5_12zbMath1171.47027OpenAlexW2172278859MaRDI QIDQ3612919

Michio Seto

Publication date: 11 March 2009

Published in: Recent Advances in Operator Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8893-5_12


zbMATH Keywords

Hardy space over the bidiskinner functions


Mathematics Subject Classification ID

(C^*)-modules (46L08) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)


Related Items (2)

A perturbation theory for core operators of Hilbert-Schmidt submodules ⋮ Rudin's submodules of \(H^2(\mathbb{D}^2)\)




Cites Work

  • Operator theory in the Hardy space over the bidisk. I
  • Inner sequence based invariant subspaces in $H^{2}(D^2)$
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