On the classification and geometry for Cowen-Douglas operators of high-rank case

DOI10.1215/20088752-2019-0005zbMath1477.47020OpenAlexW2981964077WikidataQ126987994 ScholiaQ126987994MaRDI QIDQ2332596

Yingli Hou

Publication date: 4 November 2019

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

Full work available at URL: https://projecteuclid.org/euclid.afa/1571796071

zbMATH Keywords

second fundamental formcurvatureCowen-Douglas classspanning section

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) Cowen-Douglas operators (47B13)

Cites Work

• Flag structure for operators in the Cowen-Douglas class
• Rigidity of the flag structure for a class of Cowen-Douglas operators
• On completely irreducible operators
• On the operator equation \(BX - XA = Q\)
• Homogeneous operators on Hilbert spaces of holomorphic functions
• Operators in Cowen-Douglas classes
• The spectral picture and the closure of the similarity orbit of strongly irreducible operators
• Irreducible operators
• K-group and similarity classification of operators
• Curvature and the Backward Shift Operators
• The curvature invariant for a class of homogeneous operators
• Multiplicity-free homogeneous operators in the Cowen-Douglas class
• Strongly Irreducible Operators on Hilbert Space
• Similarity Classification of Cowen-Douglas Operators
• Equivalence of quotient Hilbert modules–II
• A classification of homogeneous operators in the Cowen-Douglas class
• Complex geometry and operator theory
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