The metrics of Hermitian holomorphic vector bundles and the similarity of Cowen-Douglas operators

DOI10.1007/S13226-021-00168-8OpenAlexW3195868839MaRDI QIDQ2088994

Shanshan Ji, Kui Ji

Publication date: 6 October 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00168-8

zbMATH Keywords

holomorphic vector bundleCowen-Douglas operatorsimilarity equivalence

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on Banach algebras (47B48) Limit algebras, subalgebras of (C^*)-algebras (47L40) Cowen-Douglas operators (47B13)

Cites Work

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• Rigidity of the flag structure for a class of Cowen-Douglas operators
• On curvature and similarity
• The Arveson extension theorem and coanalytic models
• Operators in Cowen-Douglas classes
• K-group and similarity classification of operators
• On Weighted Shifts, Curvature and Similarity
• Strongly Irreducible Operators on Hilbert Space
• Complex geometry and operator theory
• A subclass of the Cowen–Douglas class and similarity

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