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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
DOI: https://doi.org/10.1090/S0002-9939-02-06759-X
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 $H^2(\mathbb{D} )$.

References [Enhancements On Off] (What's this?)

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  • 3. J.Cima, J.Thomson, W. Wogen, On some properties of Composition Operators, Ind. Math. Journal 24 (1974), 215-221 MR 50:2979
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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: https://doi.org/10.1090/S0002-9939-02-06759-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

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