Similarity of Operators in the Bergman Space Setting

Details Similarity of Operators in the Bergman Space Setting Similarity of Operators in the Bergman Space Setting

2012-03-22

arxiv.org/abs/1203.4983v1

Mathematics

Functional Analysis

Scientific paper

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.

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