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arXiv · 1307.3343

Similarity of Cowen-Douglas operators to the backward Dirichlet shift

Hyun-Kyoung Kwon
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Abstract

We show that the same similarity characterization obtained for Cowen-Douglas operators to the backward shift operators on reproducing kernel Hilbert spaces with analytic kernels can be used to describe similarity in the Dirichlet space setting. As in previous proofs, a model theorem that allows one to get the eigenvector bundle structure of the operator plays a crucial role.

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Hyun-Kyoung Kwon. 2013-07-12. Similarity of Cowen-Douglas operators to the backward Dirichlet shift. https://arxiv.org/abs/1307.3343

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