Open Access
2009 Similarity of Operators and Geometry of Eigenvector Bundles
Hyun-Kyoung Kwon, Sergei Treil
Publ. Mat. 53(2): 417-438 (2009).


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. "Similarity of Operators and Geometry of Eigenvector Bundles." Publ. Mat. 53 (2) 417 - 438, 2009.


Published: 2009
First available in Project Euclid: 20 July 2009

zbMATH: 1190.47002
MathSciNet: MR2543858

Primary: 47A99
Secondary: 30D55 , 47B32 , 53C55

Keywords: backward shift , Carleson measure , curvature of the eigenvector bundle , reproducing kernel , similarity

Rights: Copyright © 2009 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.53 • No. 2 • 2009
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