Quotient modules for some Hilbert modules over the bidisk

DOI10.1016/J.JMAA.2010.01.035zbMath1196.47004OpenAlexW2028910377MaRDI QIDQ961045

Yongjiang Duan

Publication date: 29 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.01.035

zbMATH Keywords

reproducing kernelmultiplication operatorsToeplitz algebraessentially normal Hilbert modules

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (2)

Essentially normal Hilbert modules and \(K\)-homology. IV: Quasi-homogenous quotient modules of Hardy module on the polydisks ⋮ \(N_{\psi}\)-type quotient modules in \(H^2(\mathbb{D}^n)\)

Cites Work

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• On two variable Jordan block. II
• Essentially normal Hilbert modules and \(K\)-homology. III: Homogeneous quotient modules of Hardy modules on the bidisk
• \(N_\phi\)-type quotient modules on the torus
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• Toeplitz algebras, subnormal tuples and rigidity on reproducing \(C[z_{1},\dots ,z_{d}\)-modules]
• Quasi-homogeneous Hilbert modules
• Essentially normal Hilbert modules and \(K\)-homology
• The analytic-functional calculus for several commuting operators
• Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball
• Quotients of standard Hilbert modules
• Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
• Defect operators for submodules of H[2[d]]
• Essentially Reductive Weighted Shift Hilbert Modules
• Theory of Reproducing Kernels

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