Similarity of operators and geometry of eigenvector bundles

Hyun-Kyoung Kwon; Sergei Treil

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arXiv · 0712.0114

Similarity of operators and geometry of eigenvector bundles

Hyun-Kyoung Kwon·Sergei Treil

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Abstract

We characterize the contractions that are similar to the backward shift in the Hardy space $H^2$. This characterization is given in terms of the geometry of the eigenvector bundles of the operators.

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Hyun-Kyoung Kwon, Sergei Treil. 2007-12-02. Similarity of operators and geometry of eigenvector bundles. https://arxiv.org/abs/0712.0114

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