Similarity of Operators and Geometry of Eigenvector Bundles

Hyun-Kyoung Kwon; Sergei Treil

doi:pm/1248095662

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Home > Journals > Publ. Mat. > Volume 53 > Issue 2 > Article

2009 Similarity of Operators and Geometry of Eigenvector Bundles

Hyun-Kyoung Kwon, Sergei Treil

Publ. Mat. 53(2): 417-438 (2009).

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

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Published: 2009

First available in Project Euclid: 20 July 2009

zbMATH: 1190.47002

MathSciNet: MR2543858

Subjects:

Primary: 47A99

Secondary: 30D55 , 47B32 , 53C55

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

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Publ. Mat.

Vol.53 • No. 2 • 2009

Universitat Autònoma de Barcelona, Departament de Matemàtiques

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

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