Abstract
The paper introduces a new approach to the Cowen-Douglas theory based on the notion of a spanning holomorphic cross-section. This approach is less geometric and enables one to obtain several additional results, including one about the similarity of operators in the Cowen-Douglass classes and another about the representation of these operators as the adjoint of multiplication by $z$ on certain Hilbert spaces of holomorphic functions.
Citation
Kehe Zhu. "Operators in Cowen-Douglas classes." Illinois J. Math. 44 (4) 767 - 783, Winter 2000. https://doi.org/10.1215/ijm/1255984691
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