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Similarity of Operators in the Bergman Space Setting

We give a necessary and sufficient condition for an n-hypercontraction to be similar to the backward shift operator in a weighted Bergman space. This characterization serves as a generalization of the description given in the Hardy space setting, where the geometry of the eigenvector bundles of the operators is used.

preprint2012arXivOpen access
Ronald G. DouglasHyun-Kyoung KwonSergei Treil
math.FAmath.CA
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Ronald G. DouglasHyun-Kyoung KwonSergei Treil

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