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 | References | Similar Articles | Additional Information
Abstract: We study the composition operators which are similar to an isometry on the classical Hardy space .
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- 4. N.Jaoua, Similarity to a contraction and hypercontractivity of composition operators, Proceedings of the American Math. Society 129 (2001), 2085-2092 MR 2002d:47038
- 5. B.Sz. Nagy, On uniformly bounded linear transformations in Hilbert space. Acta Univ. Szeged (1947)
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- 7. J.H. Shapiro, What do composition operators know about inner functions?, Monat Math 130 (2000), 57-70 MR 2001a:47029
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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