Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
DOI: https://doi.org/10.1090/S0002-9939-02-06759-X
Published electronically: October 1, 2002
MathSciNet review: 1955266
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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?)

  • 1. 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
  • 3. J.Cima, J.Thomson, W. Wogen, On some properties of Composition Operators, Ind. Math. Journal 24 (1974), 215-221 MR 50:2979
  • 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)
  • 6. E.Nordgren, Composition operators, Can. J. Math. 20 (1968), 442-449 MR 36:6961
  • 7. J.H. Shapiro, What do composition operators know about inner functions?, Monat Math 130 (2000), 57-70 MR 2001a:47029

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47B38, 46B22

Retrieve articles in all journals with MSC (2000): 47B38, 46B22


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

American Mathematical Society