A note on a subclass of Cowen-Douglas operators

DOI10.1007/s10114-019-8509-zOpenAlexW2980753237MaRDI QIDQ2011164

Wei Guo, Liang Tian, Kui Ji

Publication date: 28 November 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-019-8509-z

zbMATH Keywords

curvatureCowen-Douglas operatorsimilarity classificationunitary classification

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (1)

Similarity invariants of essentially normal Cowen-Douglas operators and Chern polynomials

Cites Work

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• Flag structure for operators in the Cowen-Douglas class
• Rigidity of the flag structure for a class of Cowen-Douglas operators
• On curvature and similarity
• Similarity of analytic Toeplitz operators on the Bergman spaces
• The spectral picture and the closure of the similarity orbit of strongly irreducible operators
• Similarity of quotient Hilbert modules in the Cowen-Douglas class
• Similarity of operators and geometry of eigenvector bundles
• Similarity classification of holomorphic curves
• Classification of quasi-homogeneous holomorphic curves and operators in the Cowen-Douglas class
• K-group and similarity classification of operators
• Similarity of n -hypercontractions and backward Bergman shifts
• The trace of the curvature determines similarity
• Analytic projections, Corona problem and geometry of holomorphic vector bundles
• On Weighted Shifts, Curvature and Similarity
• Strongly Irreducible Operators on Hilbert Space
• Similarity Classification of Cowen-Douglas Operators
• Complex geometry and operator theory

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