Beurling type quotient modules over the bidisk and boundary representations

DOI10.1016/j.jfa.2009.06.031zbMath1178.47002OpenAlexW2091480058MaRDI QIDQ1040576

Kunyu Guo, Kai Wang

Publication date: 25 November 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.06.031

zbMATH Keywords

essential normality\(K\)-homologyboundary representationsBeurling type quotient modules

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (18)

Essential normality for Beurling-type quotient modules over tube-type domains ⋮ The Agler reducing subspace for the operator-valued inner function over the bidisk ⋮ Properties of Beurling-type submodules via Agler decompositions ⋮ Beurling quotient subspaces for covariant representations of product systems ⋮ Properties of vector-valued submodules on the bidisk ⋮ A geometric approach to the compressed shift operator on the Hardy space over the bidisk ⋮ Essential normality of quasi-homogeneous quotient modules over the polydisc ⋮ Pairs of inner projections and two applications ⋮ Schur functions and inner functions on the bidisc ⋮ Beurling quotient modules on the polydisc ⋮ Essentially normal homogeneous quotient modules on the polydisc ⋮ On quotient modules of H²(𝔻ⁿ): essential normality and boundary representations ⋮ The reducibility of compressed shifts on a class of quotient modules over the bidisk ⋮ The reducibility of compressed shifts on Beurling type quotient modules over the bidisk ⋮ Extremal problems inH¹for continuous kernels on a bidisc ⋮ The essential normality of $N_{\underline {\eta }}$-type quotient module of Hardy module on the polydisc ⋮ Properties of compressed shifts on Beurling type quotient module of Hardy space over the bidisk ⋮ The non-tangential boundary behavior of the matrix-valued rational inner functions on bounded symmetric domain

Cites Work

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