Essentially normal Hilbert modules and \(K\)-homology. III: Homogeneous quotient modules of Hardy modules on the bidisk

DOI10.1007/s11425-007-0019-2zbMath1121.47002OpenAlexW2118788099MaRDI QIDQ885560

Kunyu Guo, Penghui Wang

Publication date: 14 June 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0019-2

zbMATH Keywords

bidiskessential normality\(K\)-homologyHardy modulequasi-homogeneous Hilbert module

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Dilations, extensions, compressions of linear operators (47A20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (11)

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 of quasi-homogeneous quotient modules over the polydisc ⋮ Essential normality of homogenous quotient modules over the polydisc: distinguished variety case ⋮ Essentially normal homogeneous quotient modules on the polydisc ⋮ Quotient modules for some Hilbert modules over the bidisk ⋮ Boundary representations on co-invariant subspaces of Bergman space ⋮ On quotient modules of H²(𝔻ⁿ): essential normality and boundary representations ⋮ An index formula for the two variable Jordan block ⋮ Beurling type quotient modules over the bidisk and boundary representations ⋮ The essential normality of $N_{\underline {\eta }}$-type quotient module of Hardy module on the polydisc

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