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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Similarity to an isometry of a composition operator


Author: Frédéric Bayart
Journal: Proc. Amer. Math. Soc. 131 (2003), 1789-1791
MSC (2000): Primary 47B38, 46B22
Published electronically: October 1, 2002
MathSciNet review: 1955266
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Abstract: We study the composition operators which are similar to an isometry on the classical Hardy space $H^2(\mathbb{D} )$.


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Additional Information

Frédéric Bayart
Affiliation: USTL, Laboratoire AGAT, U.F.R. de Mathématiques, 59665 Villeneuve d’Ascq Cedex, France
Email: bayart@agat.univ-lille1.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06759-X
PII: S 0002-9939(02)06759-X
Keywords: Similarity to an isometry, composition operator, Hardy space
Received by editor(s): October 9, 2001
Received by editor(s) in revised form: January 16, 2002
Published electronically: October 1, 2002
Communicated by: N. Tomczak-Jaegermann
Article copyright: © Copyright 2002 American Mathematical Society