On the spectrum of the Cesàro operator on spaces of analytic functions
Author
Summary, in English
This paper concerns the Cesàro operator acting on various spaces of analytic functions on the unit disc. The remarkable fact that this operator is subnormal when acting on the Hardy space H2 has lead to extensive studies of its spectral picture on other spaces of this type. We present some of the methods that have been used to obtain information about the spectrum of the Cesàro operator acting on Hardy and Bergman spaces and give a unified approach to these problems which also yields new results in this direction. In particular, we prove that the Cesàro operator is subdecomposable on H1 and on the standard weighted Bergman spaces , α0.
Department/s
Publishing year
2008
Language
English
Pages
1180-1203
Publication/Series
Journal of Mathematical Analysis and Applications
Volume
340
Issue
2
Document type
Journal article
Publisher
Elsevier
Topic
- Mathematics
Keywords
- Cesàro operator
- Spaces of analytic functions
- Resolvent
- Spectrum
- Subdecomposable
Status
Published
ISBN/ISSN/Other
- ISSN: 0022-247X