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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
Published electronically:
October 1, 2002
MathSciNet review:
1955266
Full-text PDF Free Access
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Additional Information
Abstract: We study the composition operators which are similar to an isometry on the classical Hardy space  .
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(2002f:47051), http://dx.doi.org/10.1016/S0764-4442(01)02047-X
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- F. Bayart, De nouveaux espaces de séries de Dirichlet et leurs opérateurs de composition, CRAS 333 (2001), 207-212 MR 2002f:47051
- 2.
- C.C Cowen and B.D. MacCluer, Composition Operators on Spaces of Analytic Functions, CRC Press, Boca Raton (1995) MR 97i:47056
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- N.Jaoua, Similarity to a contraction and hypercontractivity of composition operators, Proceedings of the American Math. Society 129 (2001), 2085-2092 MR 2002d:47038
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- B.Sz. Nagy, On uniformly bounded linear transformations in Hilbert space. Acta Univ. Szeged (1947)
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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
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