The core function of submodules over the bidisk

DOI10.1512/iumj.2004.53.2327zbMath1062.47009OpenAlexW2030417569MaRDI QIDQ4821695

Kunyu Guo, Rongwei Yang

Publication date: 21 October 2004

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2004.53.2327

zbMATH Keywords

Hardy spacehomogeneous idealbidiscsubmodule

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (23)

Defect operators, defect functions and defect indices for analytic submodules ⋮ The core operator and the compressed multipliers on \(M_{\psi,\varphi}\)-type submodules ⋮ One dimensional perturbation of invariant subspaces in the Hardy space over the bidisk. I ⋮ Hilbert-schmidtness of some finitely generated submodules in \(H^2(\mathbb{D}^2)\) ⋮ Kreĭn space representation and Lorentz groups of analytic Hilbert modules ⋮ A note on classification of submodules in $H^{2}(D^{2})$ ⋮ Reproducing kernels and Berezin symbols techniques in various questions of operator theory ⋮ Fredholmness of fringe operators over the bidisk ⋮ A note on Rudin's pathological submodule in \(H^{2}({\mathbb {D}}^2)\) ⋮ Factorizations of contractions ⋮ Ranks of fringe operators on finite Rudin type invariant subspaces ⋮ Hilbert-Schmidtness of Submodules in $H^2 (\mathbb{D}^2 )$ Containing $θ(z)−\varphi (w)$ ⋮ A spectral dichotomy for commuting \(m\)-isometries with negative core operator ⋮ Blaschke products and the rank of backward shift invariant subspaces over the bidisk ⋮ Tensor product of quotient Hilbert modules ⋮ Additive invariants on the Hardy space over the polydisc ⋮ On some problems related to Berezin symbols ⋮ Ranks of cross commutators on backward shift invariant subspaces over the bidisk ⋮ Indefinite Schwarz-Pick inequalities on the bidisk ⋮ An index formula for the two variable Jordan block ⋮ On the commutator and Fredholmness of isometric pair ⋮ The core operator and congruent submodules ⋮ Inner sequence based invariant subspaces in $H^{2}(D^2)$

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