A perturbation theory for core operators of Hilbert-Schmidt submodules

DOI10.1007/S00020-011-1876-1zbMath1251.47024OpenAlexW2056495557MaRDI QIDQ645109

Michio Seto

Publication date: 8 November 2011

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

Full work available at URL: https://doi.org/10.1007/s00020-011-1876-1

zbMATH Keywords

perturbationbidiskCowen-Douglas classcore operatorHilbert-Schmidt submodule

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (1)

Rudin's submodules of \(H^2(\mathbb{D}^2)\)

Cites Work

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• Function theory. Interpolation and corona problems
• Defect operators, defect functions and defect indices for analytic submodules
• The core operator and congruent submodules
• Inner sequence based invariant subspaces in $H^{2}(D^2)$
• A New Proof that Rudin’s Module is not Finitely Generated
• The Boltzmann equation in the whole space
• A note on classification of submodules in $H^{2}(D^{2})$
• On the index of invariant subspaces in spaces of analytic functions of several complex variables
• Complex geometry and operator theory
• Operator theory in the Hardy space over the bidisk. III

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