Subnormal semigroups of composition operators
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Abstract:
In this article we describe a model for subnormal semigroups of composition operators (with linear fractional symbol) acting on the Hardy space $H^2$. We also discuss cyclicity of such semigroups in the context of more general results studied by J. H. Shapiro and P. S. Bourdon.References
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Additional Information
- José Giménez
- Affiliation: Departamento de Matemáticas, Facultad de Ciencias, Universidad de Los Andes, Mérida, Venezuela
- Email: jgimenez@.ula.ve
- Received by editor(s): November 8, 2002
- Received by editor(s) in revised form: February 17, 2004
- Published electronically: December 31, 2004
- Additional Notes: This paper is based on some parts of the author’s doctoral dissertation at the University of Iowa, written under the supervision of Professor Raúl Curto. The author has been partially supported by C.D.C.H.T. of the Universidad de Los Andes, project C - 1081-01- 05 - B
- Communicated by: Joseph A. Ball
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 1749-1756
- MSC (2000): Primary 47B33; Secondary 47A13, 47B20
- DOI: https://doi.org/10.1090/S0002-9939-04-07686-5
- MathSciNet review: 2120274