On the trace of curvature of irreducible Cowen-Douglas operators

DOI10.1016/J.JMAA.2022.126181zbMath1506.47028OpenAlexW4221052144MaRDI QIDQ2122203

Jing Xu, Shanshan Ji

Publication date: 6 April 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126181

zbMATH Keywords

irreduciblehomogeneous operatorsCowen-Douglas classtrace of curvature

Mathematics Subject Classification ID

Cowen-Douglas operators (47B13)

Cites Work

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• Similarity of operators and geometry of eigenvector bundles
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• K-group and similarity classification of operators
• Similarity of n -hypercontractions and backward Bergman shifts
• The trace of the curvature determines similarity
• Curvature and the Backward Shift Operators
• The curvature invariant for a class of homogeneous operators
• On Weighted Shifts, Curvature and Similarity
• Strongly Irreducible Operators on Hilbert Space
• A classification of homogeneous operators in the Cowen-Douglas class
• Complex geometry and operator theory
• Geometric similarity invariants of Cowen-Douglas operators

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