Curvature Invariant and Generalized Canonical Operator Models – I

DOI10.1007/978-3-0348-0297-0_16zbMath1264.47016arXiv1009.3258OpenAlexW2963921721MaRDI QIDQ3143984

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

Publication date: 6 December 2012

Published in: Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3258

zbMATH Keywords

curvatureCowen-Douglas classSz.-Nagy-Foias modelresolution of Hilbert modules

Mathematics Subject Classification ID

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) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (4)

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 ⋮ Curvature invariant and generalized canonical operator models. II

Cites Work

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• Resolutions of Hilbert modules and similarity
• Confluent operator algebras and the closability property
• Quasi-free resolution of Hilbert modules
• Contractive Hilbert modules and their dilations
• Localization of Hilbert modules
• Curvature invariant and generalized canonical operator models. II
• Canonical Models for Bi-isometries
• Curvatures and Similarity of Operators with Holomorphic Eigenvectors
• Complex geometry and operator theory

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