On the spectrum of the Cesàro operator on spaces of analytic functions
Författare
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.
Avdelning/ar
Publiceringsår
2008
Språk
Engelska
Sidor
1180-1203
Publikation/Tidskrift/Serie
Journal of Mathematical Analysis and Applications
Volym
340
Issue
2
Dokumenttyp
Artikel i tidskrift
Förlag
Elsevier
Ämne
- Mathematics
Nyckelord
- Cesàro operator
- Spaces of analytic functions
- Resolvent
- Spectrum
- Subdecomposable
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0022-247X