Publicacions Matemàtiques

Hyun-Kyoung Kwon and Sergei Treil

Source: Publ. Mat. Volume 53, Number 2 (2009), 417-438.

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.

Primary Subjects: 47A99
Secondary Subjects: 47B32, 30D55, 53C55
Keywords: Similarity; curvature of the eigenvector bundle; backward shift; Carleson measure; reproducing kernel

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pm/1248095662
Mathematical Reviews number (MathSciNet): MR2543858


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