English

Similarity of operators and geometry of eigenvector bundles

Functional Analysis 2010-07-08 v1 Complex Variables Differential Geometry

Abstract

We characterize the contractions that are similar to the backward shift in the Hardy space H2H^2. This characterization is given in terms of the geometry of the eigenvector bundles of the operators.

Keywords

Cite

@article{arxiv.0712.0114,
  title  = {Similarity of operators and geometry of eigenvector bundles},
  author = {Hyun-Kyoung Kwon and Sergei Treil},
  journal= {arXiv preprint arXiv:0712.0114},
  year   = {2010}
}

Comments

18 pages