Defect operators for submodules of H[2][d]

DOI10.1515/crll.2004.059zbMath1061.46024OpenAlexW2093910040MaRDI QIDQ4811804

Kunyu Guo

Publication date: 6 September 2004

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2004.059

zbMATH Keywords

curvature invariantHilbert modulesymmetric Fock space

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (28)

Approximate representation of Bergman submodules ⋮ Notes on ordered reproducing Hilbert spaces over the complex plane ⋮ Analytic extension of functions from analytic Hilbert spaces ⋮ On the \(p\)-essential normality of principal submodules of the Bergman module on strongly pseudoconvex domains ⋮ Essentially normal Hilbert modules and \(K\)-homology. III: Homogeneous quotient modules of Hardy modules on the bidisk ⋮ Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties ⋮ Essentially normal Hilbert modules and \(K\)-homology. IV: Quasi-homogenous quotient modules of Hardy module on the polydisks ⋮ Essential normality for quotient modules and complex dimensions ⋮ Essential normality of quasi-homogeneous quotient modules over the polydisc ⋮ Essential normality of polynomial-generated submodules: Hardy space and beyond ⋮ A harmonic analysis approach to essential normality of principal submodules ⋮ Ordered reproducing Hilbert spaces over \(\mathbb C^2\) ⋮ Doubly commuting mixed invariant subspaces in the polydisc ⋮ Essential normality of homogenous quotient modules over the polydisc: distinguished variety case ⋮ Essentially normal homogeneous quotient modules on the polydisc ⋮ Bergman inner functions and \(m\)-hypercontractions ⋮ Essentially normal Hilbert modules and \(K\)-homology ⋮ Quotient modules for some Hilbert modules over the bidisk ⋮ Quotients of standard Hilbert modules ⋮ Characteristic function for polynomially contractive commuting tuples ⋮ Boundary representations on co-invariant subspaces of Bergman space ⋮ The jumping operator on invariant subspaces in spaces of analytic functions ⋮ Geometric Arveson-Douglas conjecture-decomposition of varieties ⋮ On the essential normality of principal submodules of the Drury-Arveson module ⋮ Beurling type quotient modules over the bidisk and boundary representations ⋮ Submodules of the Hardy module over the polydisc ⋮ The essential normality of $N_{\underline {\eta }}$-type quotient module of Hardy module on the polydisc ⋮ Some Remarks on Essentially Normal Submodules

Cites Work

• The curvature of a Hilbert module over ℂ[ z ₁ , … , z _d ]
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