Similarity of Cowen-Douglas operators to the backward Dirichlet shift
Functional Analysis
2013-07-15 v1
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.
Keywords
Cite
@article{arxiv.1307.3343,
title = {Similarity of Cowen-Douglas operators to the backward Dirichlet shift},
author = {Hyun-Kyoung Kwon},
journal= {arXiv preprint arXiv:1307.3343},
year = {2013}
}