The commutant and strong irreducibility of the coordinate function operators

DOI10.1007/s13226-022-00284-zWikidataQ114220132 ScholiaQ114220132MaRDI QIDQ6114131

Xingfang Feng, Yu-Cheng Li

Publication date: 14 August 2023

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

zbMATH Keywords

commutantweighted shift operatorsstrong irreducibilityCowen-Douglas operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Bergman spaces of functions in several complex variables (32A36) 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 Jordan form of a bitriangular operator
• Similarity of analytic Toeplitz operators on the Bergman spaces
• The commutant and similarity invariant of analytic Toeplitz operators on Bergman space
• On similarity of multiplication operator on weighted Bergman space
• Classification of quasi-homogeneous holomorphic curves and operators in the Cowen-Douglas class
• On Weighted Shifts, Curvature and Similarity
• Strongly Irreducible Operators on Hilbert Space
• Similarity Classification of Cowen-Douglas Operators
• The Commutant of Analytic Toeplitz Operators
• Complex geometry and operator theory

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