A local theory for operator tuples in the Cowen-Douglas class

DOI10.1016/j.aim.2016.11.028zbMath1385.47003OpenAlexW2559696427MaRDI QIDQ502658

Ronald G. Douglas, Li Chen

Publication date: 5 January 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2016.11.028

zbMATH Keywords

curvaturelocalizationCowen-Douglas operatorquotient module

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Structure theory of linear operators (47A65) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (4)

Specht's invariant and localization of operator tuples ⋮ Geometric similarity invariants of Cowen-Douglas operators ⋮ Recursive formula for covariant derivatives and geometric classification of quotient modules ⋮ On unitary invariants of quotient Hilbert modules Along smooth complex analytic sets

Cites Work

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• Localization of Hilbert modules
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• Density of algebras generated by Toeplitz operators on Bergman spaces
• Similarity classification of holomorphic curves
• Unitary invariants for Hilbert modules of finite rank
• Generalized Bergman Kernels and the Cowen-Douglas Theory
• Equivalence of quotient Hilbert modules–II
• A classification of homogeneous operators in the Cowen-Douglas class
• Complex geometry and operator theory

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