Curvature invariant and generalized canonical operator models. II

DOI10.1016/j.jfa.2013.07.005zbMath1308.47004arXiv1205.5800OpenAlexW4240962076MaRDI QIDQ2452493

Yun-Su Kim, Hyun-Kyoung Kwon, Jaydeb Sarkar, Ronald G. Douglas

Publication date: 3 June 2014

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

Full work available at URL: https://arxiv.org/abs/1205.5800

zbMATH Keywords

curvaturereproducing kernel Hilbert spacesCowen-Douglas classresolutions of Hilbert modules

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Dilations, extensions, compressions of linear operators (47A20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (5)

An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ Applications of Hilbert Module Approach to Multivariable Operator Theory ⋮ Curvature inequalities for operators of the Cowen-Douglas class ⋮ Similarity of quotient Hilbert modules in the Cowen-Douglas class ⋮ Curvature Invariant and Generalized Canonical Operator Models – I

Cites Work

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• Resolutions of Hilbert modules and similarity
• Pointwise multipliers and decomposition theorems in analytic Besov spaces
• Operators in Cowen-Douglas classes
• Localization of Hilbert modules
• The corona theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in \(\mathbb C^{n}\)
• Similarity of operators and geometry of eigenvector bundles
• Similarity of n -hypercontractions and backward Bergman shifts
• Curvature Invariant and Generalized Canonical Operator Models – I
• Curvatures and Similarity of Operators with Holomorphic Eigenvectors
• Generalized Bergman Kernels and the Cowen-Douglas Theory
• Theory of Reproducing Kernels
• Complex geometry and operator theory

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