A dual geometric theory for bundle shifts

DOI10.1016/j.jfa.2012.05.003zbMath1283.47021OpenAlexW2021124245MaRDI QIDQ444880

Li Chen

Publication date: 24 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.05.003

zbMATH Keywords

dualityholonomy groupcanonical connectionbundle shiftCowen-Douglas operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Structure theory of linear operators (47A65) Issues of holonomy in differential geometry (53C29)

Related Items (2)

Bundle shifts and Toeplitz operators on \(\mathcal{N}_{\psi}\)-type quotient modules of the tridisc ⋮ Curvature inequalities for operators in the Cowen-Douglas class of a planar domain

Cites Work

• On the double commutant of Cowen-Douglas operators
• On the analytic model of a class of hyponormal operators
• A unitary invariant for hyponormal operators
• The analytic model of a subnormal operator
• A class of subnormal operators related to multiply-connected domains
• Dual piecewise analytic bundle shift models of linear operators
• Similarity classification of holomorphic curves
• Hardy classes on Riemann surfaces
• \({\mathcal H}^p\) sections of vector bundles over Riemann surfaces
• On unitarily equivalent submodules
• The 𝐻^{𝑝} spaces of an annulus
• $\widetilde{{\rm SL}(2, \mathbb{R})}$-HOMOGENEOUS VECTOR BUNDLES
• Analytic Functions of Class H p
• A classification of homogeneous operators in the Cowen-Douglas class
• Complex geometry and operator theory
• Complex geometry and operator theory
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