Classification of quasi-homogeneous holomorphic curves and operators in the Cowen-Douglas class

DOI10.1016/J.JFA.2017.06.015zbMath1420.47009OpenAlexW2660939786MaRDI QIDQ2404084

Chun Lan Jiang, Kui Ji, Gadadhar Misra

Publication date: 12 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.06.015

zbMATH Keywords

second fundamental formcurvatureholomorphic curveshomogeneous operatorsHermitian bundlesCowen-Douglass classesHalmos' question on similarityquasi-homogeneous operatorstopological and algebraic \(K\)-groups

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Structure theory of linear operators (47A65) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (6)

On the trace of curvature of irreducible Cowen-Douglas operators ⋮ Holomorphic spectral theory: a geometric approach ⋮ Geometric similarity invariants of Cowen-Douglas operators ⋮ The commutant and strong irreducibility of the coordinate function operators ⋮ The orbit of a bounded operator under the Möbius group modulo similarity equivalence ⋮ A note on a subclass of Cowen-Douglas operators

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